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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]`

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`int (sin^(−1)sqrt x-cos^(−1)sqrt x)/(sin^(−1)sqrt x+cos^(−1)sqrt x)dx`
We know that
`sin^(−1) sqrtx+cos^(−1) sqrtx=2pi` .......(1)
Also,` cos^(−1) sqrtx=pi/2−sin^(−1) sqrtx` .....(2)
...
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