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The value of int((tan^(-1)(sinx+1))cosx)...

The value of `int((tan^(-1)(sinx+1))cosx)/((3+2sinx-cos^(2)x))dx` is (where c is the constant of integration)

A

`tan^(-1)(sinx)+c`

B

`(tan^(-1)(sinx))^(2)+c`

C

`((tan^(-1)(sinx+1)^(2)))/(2)+c`

D

`((tan^(-1)(sinx))^(2))/(2)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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