Evaluate int ((sin^(-1) sqrt(x)-cos^(-1)...

Evaluate `int ((sin^(-1) sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x)))dx`.

Text Solution

Verified by Experts

The correct Answer is:

`(2)/(pi) [ sqrt(x-x^(2))-(1-2x) sin^(-1)sqrt(x)]-x +c`.

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