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Grade 12Integral Calculus

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

Profile image of Mostafijur Rahaman
12 Years agoGrade 12
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1 Answer

Profile image of Sumit Majumdar
ApprovedApproved Tutor Answer12 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