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Evaluate: int(sin^(-1)x)/((1-x^2)^(3/2))...

Evaluate: `int(sin^(-1)x)/((1-x^2)^(3/2))dx`

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We have `int frac{sin ^{-1} x}{(1-x^{2})^{frac{3}{2}}} d x`
Suppose `t=sin ^{-1} x `
` x=sin t `
` Rightarrow dt=frac{1}{sqrt{1-x^{2}}} dx `
` =int frac{sin ^{-1} {x}}{(1-{x}^{2}) sqrt{(1-{x}^{2})}} `
` =int frac{{t}}{(1-sin ^{2} {t})} {dt} `
` =int frac{t}{cos ^{2} t} {dt} `
` ...
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