Integrales por partes Calculo Integral
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=7_hNgTcxyU0
Explicación de la fórmula general ∫udv=uv−∫vdu, cómo seleccionar u y dv, y desarrollo de un ejemplo práctico paso a paso","styleRuns":[{"startIndex":0,"length":120,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":120,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CLIBELsvGAIiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SCzdfaE5nVGN4eVUwGAYyJSIRIgs3X2hOZ1RjeHlVMDAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CLIBELsvGAIiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CLEBELovIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"V6lQibiXVg0","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/V6lQibiXVg0/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH8CYAC0AWKAgwIABABGGUgYihEMA8= rs=AOn4CLC3LQ-Yeuw2Judip9aLKg--mER1jg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/V6lQibiXVg0/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_AmAAtAFigIMCAAQARhlIGIoRDAP rs=AOn4CLAXfXFhOaWe9VT2nQ6g82_wDZ5wig","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Ejemplos de derivadas video 2 by profejesus0501 11 views 6 days ago 32 minutes"}},"simpleText":"Ejemplos de derivadas video 2"},"longBylineText":{"runs":[{"text":"profejesus0501","navigationEndpoint":{"clickTrackingParams":"CKsBEKQwGAAiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@profejesus-rv2og","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCUaV3pcJHplm3uphX5S0nmw","canonicalBaseUrl":"/@profejesus-rv2og"}}}]},"publishedTimeText":{"simpleText":"6 days ago"},"viewCountText":{"simpleText":"11 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"32 minutes, 17 seconds"}},"simpleText":"32:17"},"navigationEndpoint":{"clickTrackingParams":"CKsBEKQwGAAiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWRIzZLHuZOwk_zvAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=V6lQibiXVg0","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"V6lQibiXVg0","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=57a95089b897560d ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=950000 mt=1741114644 oweuc= pxtags=Cg4KAnR4Egg1MTQxNDI0MA rxtags=Cg4KAnR4Egg1MTQxNDIzOQ%2CCg4KAnR4Egg1MTQxNDI0MA%2CCg4KAnR4Egg1MTQxNDI0MQ"}}}}},"shortBylineText":{"runs":[{"text":"profejesus0501","navigationEndpoint":{"clickTrackingParams":"CKsBEKQwGAAiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@profejesus-rv2og","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCUaV3pcJHplm3uphX5S0nmw","canonicalBaseUrl":"/@profejesus-rv2og"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CKsBEKQwGAAiEwiE9tbLj_GLAxUMRHoFHUNVCZA="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mB5VyGqWSiPN7DiHlkQZL2UBUad4g1K3kvJ9J0sKVwgFlHiayRQ5wWyB6lQHF7QvuuIQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKsBEKQwGAAiEwiE9tbLj_GLAxUMRHoFHUNVCZBAjazdxJuR1NRX","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"11 views"}},"simpleText":"11 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK8BEP6YBBgGIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK8BEP6YBBgGIhMIhPbWy4_xiwMVDER6BR1DVQmQ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"V6lQibiXVg0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK8BEP6YBBgGIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["V6lQibiXVg0"],"params":"CAQ%3D"}},"videoIds":["V6lQibiXVg0"]}},{"clickTrackingParams":"CK8BEP6YBBgGIhMIhPbWy4_xiwMVDER6BR1DVQmQ","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLABELlqIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},"popupType":"TOAST"}}]}},"trackingParams":"CK8BEP6YBBgGIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKsBEKQwGAAiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtWNmxRaWJpWFZnMA%3D%3D","commands":[{"clickTrackingParams":"CKsBEKQwGAAiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CK4BEI5iIhMIhPbWy4_xiwMVDER6BR1DVQmQ","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKsBEKQwGAAiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","hasSeparator":true}}],"trackingParams":"CKsBEKQwGAAiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"32 minutes, 17 seconds"}},"simpleText":"32:17"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CK0BEPnnAxgCIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"V6lQibiXVg0","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CK0BEPnnAxgCIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"V6lQibiXVg0"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CK0BEPnnAxgCIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKwBEMfsBBgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKwBEMfsBBgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"V6lQibiXVg0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKwBEMfsBBgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["V6lQibiXVg0"],"params":"CAQ%3D"}},"videoIds":["V6lQibiXVg0"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKwBEMfsBBgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Ejemplos de derivadas video 2 - 32 minutes - Go to channel - profejesus0501 - 11 views - 6 days ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"MrvePmj20eo","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/MrvePmj20eo/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLALBxt369lNdgi5pJQU_G2Y4RxtzQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/MrvePmj20eo/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLD5GDfHHiyf97PFenrgk47stK2NWg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"The Mathematician Forced to Become a Genius by Newsthink 103,189 views 2 days ago 15 minutes"}},"simpleText":"The Mathematician Forced to Become a Genius"},"longBylineText":{"runs":[{"text":"Newsthink","navigationEndpoint":{"clickTrackingParams":"CKUBEKQwGAEiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Newsthink","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCIlU5KDHKFSaebYviKfOidw","canonicalBaseUrl":"/@Newsthink"}}}]},"publishedTimeText":{"simpleText":"2 days ago"},"viewCountText":{"simpleText":"103,189 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"15 minutes, 21 seconds"}},"simpleText":"15:21"},"navigationEndpoint":{"clickTrackingParams":"CKUBEKQwGAEiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWRIzZLHuZOwk_zvAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=MrvePmj20eo","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"MrvePmj20eo","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nvm-cxb6.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=32bbde3e68f6d1ea ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=448750 mt=1741114644 oweuc= pxtags=Cg4KAnR4Egg1MTQxNDI0MA rxtags=Cg4KAnR4Egg1MTQxNDIzOQ%2CCg4KAnR4Egg1MTQxNDI0MA%2CCg4KAnR4Egg1MTQxNDI0MQ"}}}}},"shortBylineText":{"runs":[{"text":"Newsthink","navigationEndpoint":{"clickTrackingParams":"CKUBEKQwGAEiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Newsthink","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCIlU5KDHKFSaebYviKfOidw","canonicalBaseUrl":"/@Newsthink"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CKUBEKQwGAEiEwiE9tbLj_GLAxUMRHoFHUNVCZA="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/wbWDwTJ49RDlVsxwcBDnsMETGvN2hjuVsmw1AaUULemzb4i8H2gk7a316GhgDyAF9kq5igdOtjE=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CKUBEKQwGAEiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CKUBEKQwGAEiEwiE9tbLj_GLAxUMRHoFHUNVCZBA6qPbx-bH990y","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"103K views"}},"simpleText":"103K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKkBEP6YBBgIIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKkBEP6YBBgIIhMIhPbWy4_xiwMVDER6BR1DVQmQ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"MrvePmj20eo","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKkBEP6YBBgIIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["MrvePmj20eo"],"params":"CAQ%3D"}},"videoIds":["MrvePmj20eo"]}},{"clickTrackingParams":"CKkBEP6YBBgIIhMIhPbWy4_xiwMVDER6BR1DVQmQ","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKoBELlqIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},"popupType":"TOAST"}}]}},"trackingParams":"CKkBEP6YBBgIIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKUBEKQwGAEiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtNcnZlUG1qMjBlbw%3D%3D","commands":[{"clickTrackingParams":"CKUBEKQwGAEiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKgBEI5iIhMIhPbWy4_xiwMVDER6BR1DVQmQ","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKUBEKQwGAEiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","hasSeparator":true}}],"trackingParams":"CKUBEKQwGAEiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"15 minutes, 21 seconds"}},"simpleText":"15:21"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKcBEPnnAxgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"MrvePmj20eo","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKcBEPnnAxgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"MrvePmj20eo"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKcBEPnnAxgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKYBEMfsBBgEIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKYBEMfsBBgEIhMIhPbWy4_xiwMVDER6BR1DVQmQ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"MrvePmj20eo","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKYBEMfsBBgEIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["MrvePmj20eo"],"params":"CAQ%3D"}},"videoIds":["MrvePmj20eo"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKYBEMfsBBgEIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"The Mathematician Forced to Become a Genius - 15 minutes - Go to channel - Newsthink - 103K views - 2 days ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/MrvePmj20eo/mqdefault_6s.webp?du=3000 sqp=CKyOnb4G rs=AOn4CLBTHrgnKHQwUuRR75wZGEhwLCLVfQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"GF2JvHM_4o8","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/GF2JvHM_4o8/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBxfKLBsfKTsuXxwSCPEEaAyGaJsg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/GF2JvHM_4o8/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLC71uXFizAaveRG_Kvvu0rBVCOqzg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Alphazero vs Stockfish master by Rey Enigma 41,846 views 6 days ago 9 minutes, 46 seconds"}},"simpleText":"Alphazero vs Stockfish master"},"longBylineText":{"runs":[{"text":"Rey Enigma","navigationEndpoint":{"clickTrackingParams":"CJ8BEKQwGAIiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@ReyEnigma","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCyXPeJgcUAnyvqHhXClVu5g","canonicalBaseUrl":"/@ReyEnigma"}}}]},"publishedTimeText":{"simpleText":"6 days ago"},"viewCountText":{"simpleText":"41,846 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"9 minutes, 46 seconds"}},"simpleText":"9:46"},"navigationEndpoint":{"clickTrackingParams":"CJ8BEKQwGAIiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWRIzZLHuZOwk_zvAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=GF2JvHM_4o8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"GF2JvHM_4o8","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=185d89bc733fe28f ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=950000 mt=1741114644 oweuc= pxtags=Cg4KAnR4Egg1MTQxNDI0MA rxtags=Cg4KAnR4Egg1MTQxNDIzOQ%2CCg4KAnR4Egg1MTQxNDI0MA%2CCg4KAnR4Egg1MTQxNDI0MQ"}}}}},"shortBylineText":{"runs":[{"text":"Rey Enigma","navigationEndpoint":{"clickTrackingParams":"CJ8BEKQwGAIiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@ReyEnigma","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCyXPeJgcUAnyvqHhXClVu5g","canonicalBaseUrl":"/@ReyEnigma"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CJ8BEKQwGAIiEwiE9tbLj_GLAxUMRHoFHUNVCZA="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kTu7ZL5ZR2EeI1H5CZzLpaQ3GTjqbIva8Ry323qw1CLw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CJ8BEKQwGAIiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CJ8BEKQwGAIiEwiE9tbLj_GLAxUMRHoFHUNVCZBAj8X_mce34q4Y","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"41K views"}},"simpleText":"41K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKMBEP6YBBgIIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKMBEP6YBBgIIhMIhPbWy4_xiwMVDER6BR1DVQmQ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"GF2JvHM_4o8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKMBEP6YBBgIIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["GF2JvHM_4o8"],"params":"CAQ%3D"}},"videoIds":["GF2JvHM_4o8"]}},{"clickTrackingParams":"CKMBEP6YBBgIIhMIhPbWy4_xiwMVDER6BR1DVQmQ","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKQBELlqIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},"popupType":"TOAST"}}]}},"trackingParams":"CKMBEP6YBBgIIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJ8BEKQwGAIiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtHRjJKdkhNXzRvOA%3D%3D","commands":[{"clickTrackingParams":"CJ8BEKQwGAIiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKIBEI5iIhMIhPbWy4_xiwMVDER6BR1DVQmQ","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJ8BEKQwGAIiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","hasSeparator":true}}],"trackingParams":"CJ8BEKQwGAIiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"9 minutes, 46 seconds"}},"simpleText":"9:46"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKEBEPnnAxgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"GF2JvHM_4o8","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKEBEPnnAxgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"GF2JvHM_4o8"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKEBEPnnAxgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKABEMfsBBgEIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKABEMfsBBgEIhMIhPbWy4_xiwMVDER6BR1DVQmQ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"GF2JvHM_4o8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKABEMfsBBgEIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["GF2JvHM_4o8"],"params":"CAQ%3D"}},"videoIds":["GF2JvHM_4o8"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKABEMfsBBgEIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Alphazero vs Stockfish master - 9 minutes, 46 seconds - Go to channel - Rey Enigma - 41K views - 6 days ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/GF2JvHM_4o8/mqdefault_6s.webp?du=3000 sqp=CKz2nL4G rs=AOn4CLDg7xVrgOyvDE8mnqBPVsJJNmVdjg","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"96_y7uY4UZg","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/96_y7uY4UZg/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDTuTKugImXarTozKoNudznCdv4Tg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/96_y7uY4UZg/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLA8icGFB4P24fsVRFiTlBqoutpmtQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Italy l can you solve?? l Hardest Olympiad Math Problem by Math Master TV 266 views 3 hours ago 12 minutes, 41 seconds"}},"simpleText":"Italy l can you solve?? l Hardest Olympiad Math Problem"},"longBylineText":{"runs":[{"text":"Math Master TV","navigationEndpoint":{"clickTrackingParams":"CJkBEKQwGAMiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@haiderlughmani","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCpydzgyyDKeLRfkmQl_tT7Q","canonicalBaseUrl":"/@haiderlughmani"}}}]},"publishedTimeText":{"simpleText":"3 hours ago"},"viewCountText":{"simpleText":"266 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"12 minutes, 41 seconds"}},"simpleText":"12:41"},"navigationEndpoint":{"clickTrackingParams":"CJkBEKQwGAMiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWRIzZLHuZOwk_zvAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=96_y7uY4UZg","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"96_y7uY4UZg","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=f7aff2eee6385198 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=717500 mt=1741114644 oweuc= pxtags=Cg4KAnR4Egg1MTQxNDI0MA rxtags=Cg4KAnR4Egg1MTQxNDIzOQ%2CCg4KAnR4Egg1MTQxNDI0MA%2CCg4KAnR4Egg1MTQxNDI0MQ"}}}}},"shortBylineText":{"runs":[{"text":"Math Master TV","navigationEndpoint":{"clickTrackingParams":"CJkBEKQwGAMiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@haiderlughmani","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCpydzgyyDKeLRfkmQl_tT7Q","canonicalBaseUrl":"/@haiderlughmani"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CJkBEKQwGAMiEwiE9tbLj_GLAxUMRHoFHUNVCZA="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/aZk0ss63x_lgy_9Egw1QKaXTm2csoK6DyB4aKiZJaYHyixhAFR4sBUBKf0pZYjbYs7Oze4rw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CJkBEKQwGAMiEwiE9tbLj_GLAxUMRHoFHUNVCZBAmKPhse7d_Nf3AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"266 views"}},"simpleText":"266 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJ0BEP6YBBgHIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJ0BEP6YBBgHIhMIhPbWy4_xiwMVDER6BR1DVQmQ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"96_y7uY4UZg","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJ0BEP6YBBgHIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["96_y7uY4UZg"],"params":"CAQ%3D"}},"videoIds":["96_y7uY4UZg"]}},{"clickTrackingParams":"CJ0BEP6YBBgHIhMIhPbWy4_xiwMVDER6BR1DVQmQ","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CJ4BELlqIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},"popupType":"TOAST"}}]}},"trackingParams":"CJ0BEP6YBBgHIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJkBEKQwGAMiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs5Nl95N3VZNFVaZw%3D%3D","commands":[{"clickTrackingParams":"CJkBEKQwGAMiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJwBEI5iIhMIhPbWy4_xiwMVDER6BR1DVQmQ","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJkBEKQwGAMiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","hasSeparator":true}}],"trackingParams":"CJkBEKQwGAMiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"12 minutes, 41 seconds"}},"simpleText":"12:41"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJsBEPnnAxgCIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"96_y7uY4UZg","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJsBEPnnAxgCIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"96_y7uY4UZg"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJsBEPnnAxgCIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJoBEMfsBBgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJoBEMfsBBgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"96_y7uY4UZg","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJoBEMfsBBgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["96_y7uY4UZg"],"params":"CAQ%3D"}},"videoIds":["96_y7uY4UZg"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJoBEMfsBBgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Italy l can you solve?? l Hardest Olympiad Math Problem - 12 minutes, 41 seconds - Go to channel - Math Master TV - 266 views - 3 hours ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/96_y7uY4UZg/mqdefault_6s.webp?du=3000 sqp=COj9nL4G rs=AOn4CLBY_AvqJg7O-p2oiR41VQtywGJo6g","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"0UQGOu5xmmU","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/0UQGOu5xmmU/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGFogXyhlMA8= rs=AOn4CLDSuN4LyrCo1S4F9Fj5uW2B6MIkjQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/0UQGOu5xmmU/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhaIF8oZTAP rs=AOn4CLCIY1IN6JPBRFkhLQ8wsB5vqgXB0w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Metodos de integracion : Integracion por partes by profe gio Vergara 7 views 3 days ago 4 minutes, 27 seconds"}},"simpleText":"Metodos de integracion : Integracion por partes"},"longBylineText":{"runs":[{"text":"profe gio Vergara","navigationEndpoint":{"clickTrackingParams":"CJMBEKQwGAQiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@profegiovergara257","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXQqtf2-H_3OiMrS4mEbsLQ","canonicalBaseUrl":"/@profegiovergara257"}}}]},"publishedTimeText":{"simpleText":"3 days ago"},"viewCountText":{"simpleText":"7 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"4 minutes, 27 seconds"}},"simpleText":"4:27"},"navigationEndpoint":{"clickTrackingParams":"CJMBEKQwGAQiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWRIzZLHuZOwk_zvAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=0UQGOu5xmmU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"0UQGOu5xmmU","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nvm-cxb6.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=d144063aee719a65 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=448750 mt=1741114644 oweuc= pxtags=Cg4KAnR4Egg1MTQxNDI0MA rxtags=Cg4KAnR4Egg1MTQxNDIzOQ%2CCg4KAnR4Egg1MTQxNDI0MA%2CCg4KAnR4Egg1MTQxNDI0MQ"}}}}},"shortBylineText":{"runs":[{"text":"profe gio Vergara","navigationEndpoint":{"clickTrackingParams":"CJMBEKQwGAQiEwiE9tbLj_GLAxUMRHoFHUNVCZAyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@profegiovergara257","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXQqtf2-H_3OiMrS4mEbsLQ","canonicalBaseUrl":"/@profegiovergara257"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CJMBEKQwGAQiEwiE9tbLj_GLAxUMRHoFHUNVCZA="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mkMsZ7Y3hG2QFEF0Jlbpz2okBHte3je1S3c8mja6vSXg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CJMBEKQwGAQiEwiE9tbLj_GLAxUMRHoFHUNVCZBA5bTG867HgaLRAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"7 views"}},"simpleText":"7 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJcBEP6YBBgHIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJcBEP6YBBgHIhMIhPbWy4_xiwMVDER6BR1DVQmQ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"0UQGOu5xmmU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJcBEP6YBBgHIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["0UQGOu5xmmU"],"params":"CAQ%3D"}},"videoIds":["0UQGOu5xmmU"]}},{"clickTrackingParams":"CJcBEP6YBBgHIhMIhPbWy4_xiwMVDER6BR1DVQmQ","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CJgBELlqIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},"popupType":"TOAST"}}]}},"trackingParams":"CJcBEP6YBBgHIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJMBEKQwGAQiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgswVVFHT3U1eG1tVQ%3D%3D","commands":[{"clickTrackingParams":"CJMBEKQwGAQiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJYBEI5iIhMIhPbWy4_xiwMVDER6BR1DVQmQ","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJMBEKQwGAQiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","hasSeparator":true}}],"trackingParams":"CJMBEKQwGAQiEwiE9tbLj_GLAxUMRHoFHUNVCZA=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"4 minutes, 27 seconds"}},"simpleText":"4:27"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJUBEPnnAxgCIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"0UQGOu5xmmU","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJUBEPnnAxgCIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"0UQGOu5xmmU"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJUBEPnnAxgCIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJQBEMfsBBgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJQBEMfsBBgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"0UQGOu5xmmU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJQBEMfsBBgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["0UQGOu5xmmU"],"params":"CAQ%3D"}},"videoIds":["0UQGOu5xmmU"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJQBEMfsBBgDIhMIhPbWy4_xiwMVDER6BR1DVQmQ"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Metodos de integracion : Integracion por partes - 4 minutes, 27 seconds - Go to channel - profe gio Vergara - 7 views - 3 days ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/0UQGOu5xmmU/mqdefault_6s.webp?du=3000 sqp=CMyVnb4G rs=AOn4CLDXgHFZQUrnokYqZfZQvXCUdLANrw","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/pl_c/PL8735_Mo4c1-9Y6E5PHh53X5mnA6xP7hA/studio_square_thumbnail.jpg?sqp=CPTsnL4G-oaymwEICKoDEPABSFqi85f_AwYInN2TvQY= rs=AOn4CLAKhGKVw8rRk23GrQ6DI2f4TP0EmA","width":426,"height":240}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"22 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3349521,"darkTheme":3349521}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":5845278,"darkTheme":5845278}}},"stackColor":{"lightTheme":10058347,"darkTheme":9666678}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"💎Cálculo para la Toma de Decisiones UTP💎"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"pedri
#############################
