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what is the integral of (cos2x) 1/2 /cosx dx ??????

what is the integral of (cos2x)1/2/cosx dx ??????

Grade:12

1 Answers

Sumit Majumdar IIT Delhi
askIITians Faculty 137 Points
7 years ago
Dear student ,
We have:
\int \frac{\sqrt{cos\left ( 2x \right )}}{cos\left ( x \right )}dx=\int \frac{\sqrt{cos^{2}\left ( x \right )-sin^{2}\left ( x \right )}}{\sqrt{cos^{2}\left ( x \right )}}dx=\int \sqrt{1-tan^{2}\left ( x \right )}dxThis on solving gives:
68-370_Sol.JPG
Regards
Sumit

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