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

Find : `int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))dx ,x in [0,1]`

Text Solution

Verified by Experts

The correct Answer is:
`(sin^(-1)sqrtx)/(pi)(2px-1)+(2)/(pi)sqrt(x-x^(2))-x+c`
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