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inttan^(-1){sqrt((1-cos2x)/(1+cos2x))} d...

`inttan^(-1){sqrt((1-cos2x)/(1+cos2x))} dx = ?`

A

`2x^(2)+C`

B

`(x^(2))/(2)+C`

C

`(2)/((1+x^(2)))+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`I=inttan^(-1)sqrt((2sin^(2)x)/(2cos^(2)x))dx=inttan^(-1)(tanx)dx`.
`=intxdx=(x^(2))/(2)+C`.
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