Evaluate: `intsin^(-1)sqrt(x)\ dx`

Explanation

Given:`intsin^(-1)sqrt(x)\ dx`

`I=intsin^(-1)sqrt(x)\ dx`

Let `sin^(-1)sqrtx=t`

`implies sin t=sqrtx`

`implies sin^ 2t=x`

`implies 2sin tcos t.dt=dx`

`implies sin2t.dt=dx`

`I=int t.sin2t.dt`

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