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Evaluate: int1/(sqrt(1-x^2)(sin^(-1)x)^...

Evaluate: `int1/(sqrt(1-x^2)(sin^(-1)x)^2)dx`

Text Solution

Verified by Experts

I=`int1/(sqrt(1-x^2)(sin^(-1)x)^2)dx`
Let `sin^(-1)x=t`
=`1/sqrt(1-x^2)dx=dt`
SO,`I=dt/t^2`
=`-t^(-1)+c`
=`-(sin^(-1)x)^(-1)+c`
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