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integrate [{sin^3 (x)}/{(1+cos^2 (x))(sqrt(1+cos^2 (x) +cos^4 (x)))}]dx

integrate [{sin^3 (x)}/{(1+cos^2 (x))(sqrt(1+cos^2 (x) +cos^4 (x)))}]dx

Grade:7

1 Answers

Sumit Majumdar IIT Delhi
askIITians Faculty 137 Points
7 years ago
Dear student,
We have:
\int \frac{sin^{3}\left ( x \right )}{\left (1+cos^{2}\left ( x \right ) \right )\sqrt{1+cos^{2}\left ( x \right )+cos^{4}\left ( x \right )}}
This on solving gives the required result:
68-136_Sol.JPG
Regards
Sumit

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