Integral of arctanx by parts
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โ๐ผ https://integralsforyou.com - Integral of arctan(x) - How to integrate it step by step using integration by parts! • โ ๐๐๐ซ๐ข๐ฏ๐๐ญ๐ข๐ฏ๐ ๐ญ๐จ ๐๐ก๐๐๐ค ๐ญ๐ก๐ ๐ฌ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง • Derivative of x*arctan(x) - (1/2)ln(1+x^2) = • Derivative of x*arctan(x) - (1/2)ln(1... • ๐ถ ๐๐ญ๐๐ฉ๐ฌ • 00:00 Rewrite expression • 00:15 Parts: Integral of u dv = uv - Integral of v du • 00:31 Choose u and dv • 00:47 Differentiate u to get du • 00:57 Integrate dv to get v • 01:06 Substitute u, v and du • 01:31 Simplify expression • 01:53 Multiply and divide by 2 • 01:59 Integrate 2x/(x^2+1) • 02:14 Add integration constant +C • 02:16 Final answer! • ๐ ๐ ๐จ๐ฅ๐ฅ๐จ๐ฐ @๐ข๐ง๐ญ๐๐ ๐ซ๐๐ฅ๐ฌ๐๐จ๐ซ๐ฒ๐จ๐ฎ ๐๐จ๐ซ ๐ ๐๐๐ข๐ฅ๐ฒ ๐ข๐ง๐ญ๐๐ ๐ซ๐๐ฅ! ๐ • ๐ธ / integralsforyou • • ๐ ๐๐ซ๐ ๐ฒ๐จ๐ฎ ๐ฅ๐จ๐จ๐ค๐ข๐ง๐ ๐๐จ๐ซ ๐ ๐ฉ๐๐ซ๐ญ๐ข๐๐ฎ๐ฅ๐๐ซ ๐ข๐ง๐ญ๐๐ ๐ซ๐๐ฅ? ๐ ๐ข๐ง๐ ๐ข๐ญ ๐ฐ๐ข๐ญ๐ก ๐ญ๐ก๐ ๐ข๐ง๐ญ๐๐ ๐ซ๐๐ฅ ๐ฌ๐๐๐ซ๐๐ก๐๐ซ: • โบ Integral searcher ๐https://integralsforyou.com/integral-... • • ๐ ๐๐๐ฏ๐ ๐ฒ๐จ๐ฎ ๐ฃ๐ฎ๐ฌ๐ญ ๐ฅ๐๐๐ซ๐ง๐๐ ๐๐ง ๐ข๐ง๐ญ๐๐ ๐ซ๐๐ญ๐ข๐จ๐ง ๐ฆ๐๐ญ๐ก๐จ๐? ๐ ๐ข๐ง๐ ๐๐๐ฌ๐ฒ, ๐ฆ๐๐๐ข๐ฎ๐ฆ ๐๐ง๐ ๐ก๐ข๐ ๐ก ๐ฅ๐๐ฏ๐๐ฅ ๐๐ฑ๐๐ฆ๐ฉ๐ฅ๐๐ฌ ๐ก๐๐ซ๐: • โบ Integration by parts ๐https://integralsforyou.com/integrati... • โบ Integration by substitution ๐https://integralsforyou.com/integrati... • โบ Integration by trig substitution ๐https://integralsforyou.com/integrati... • โบ Integration by Weierstrass substitution ๐https://integralsforyou.com/integrati... • โบ Integration by partial fraction decomposition ๐https://integralsforyou.com/integrati... • • ๐ ๐จ๐ฅ๐ฅ๐จ๐ฐ ๐๐ง๐ญ๐๐ ๐ซ๐๐ฅ๐ฌ ๐ ๐จ๐ซ๐๐จ๐ฎ • โถ๏ธ Youtube: https://www.youtube.com/integralsfory... • ๐ธ Instagram: / integralsforyou • ๐ Facebook: / integralsforyou • • ๐๐จ๐ง๐๐ญ๐ • ๐โ๏ธ Patreon: / integralsforyou • • #integralsforyou #integrals #integrationbyparts
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