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Integrate the following functions (sin^-...

Integrate the following functions `(sin^-1x)^2`

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`int (sin^-1 x)^2 dx = int 1 xx (sin^-1 x)^2 dx`
=`(sin^-1 x)^2x- int 2 sin^-1 x 1/sqrt(1-x^2) x dx`
=`x (sin^-1x)^2 + int (-2x)/sqrt(1-x^2) xx sin^-1x dx`
=`x (sin^-1x)^2+ int (-2x)/sqrt(1-x^2) dx - int (1/sqrt(1-x^2) int (-2x)/sqrt(1-x^2) dx) dx`
=`x(sin^-1x)^2+ sin^-1x xx 2 sqrt(1-x^2)- int1/sqrt(1-x^2) 2sqrt(1-x^2) dx`
=`x (sin^-1 x)^2 +2 sqrt(1-x^2) sin^-1 x- 2x+c`
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