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Find the value of int(tan sin^(- 1)x)/(s...

Find the value of `int(tan sin^(- 1)x)/(sqrt(1-x^2))dx`

A

`log|sec(sin^(-1)x)|+C`

B

`log|cos(sin^(-1)x)|+C`

C

`tan(sin^(1)x)+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Put `sin^(-1)x=t and(1)/(sqrt(1-x^(2)))dx=dt`.
`:." "I=inttan"t dt"=log|sect|+C`.
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