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int(secx)/(sqrt(cos2x))dx=...

`int(secx)/(sqrt(cos2x))dx=`

Text Solution

Verified by Experts

The correct Answer is:
`sin^(-1)(tanx)+C`
`int(secxdx)/(sqrt(cos2x))=int (secx)/(sqrt(cos^(2)x-sin^(2)x))dx`
` =(sec^(2)x dx)/(sqrt(1-tan^(2)x))`
`=sin^(-1)(tanx)+C`
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