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

Evaluate : `int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))dx[0 le x le 1]`

Text Solution

Verified by Experts

The correct Answer is:
`x-(4)/(pi)[xcos^(-1)sqrt(x)+(1)/(2){sin^(-1)sqrt(x)-sqrt(x(1-x))}]+c`
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