Primitivas de funções racionais Primitivação por substituição

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Nesta vídeo-aula determino a primitiva de várias funções racionais. • Método de primitivação por substituição (mudança de variável): vários exemplos. • Formulário importante: • 1+tan^2=sec^2=(tan)' • (sec)'=sec.tan • Nota: ao minuto 45'45 alterei inadvertidamente um 2 por um 1. Sendo assim o denominador da função integranda deverá ser RaizCúbica(x) +1 em vez de RaizCúbica(x) +2.","styleRuns":[{"startIndex":0,"length":375,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":375,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMEBELsvGAIiEwiMuYi2t9SLAxVC2EIFHWUcCKM=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC3VOOFFQOGdUOWl3GAYyJSIRIgt1TjhRUDhnVDlpdzAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMEBELsvGAIiEwiMuYi2t9SLAxVC2EIFHWUcCKM=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMABELovIhMIjLmItrfUiwMVQthCBR1lHAij"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"kExvzfj12BQ","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/kExvzfj12BQ/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDg1xaFpkHKrAtDr2RuUx5jSvUlRA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/kExvzfj12BQ/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDAc8Xq2eonhVYL0mfSfJapoRIkmA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Mudança de variável. 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