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Integral Calculus> what is the integral of (cos2x) 1/2 /cosx...

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

Mostafijur Rahaman , 11 Years ago

Grade 12

1 Answers

Sumit Majumdar

Last Activity: 11 Years ago

Dear student ,

We have:

$\int \frac{\sqrt{cos\left ( 2x \right )}}{cos\left ( x \right )}dx=\int \frac{\sqrt{cos^{2}\left ( x \right )-sin^{2}\left ( x \right )}}{\sqrt{cos^{2}\left ( x \right )}}dx=\int \sqrt{1-tan^{2}\left ( x \right )}dx$ This on solving gives:

Regards

Sumit

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