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Integrate the functions (sin^(-1)sqrt(...

Integrate the functions
`(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x)),x in[0,1]`

Text Solution

Verified by Experts

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