Evaluate the indefinite integral
X*e^(arcsin(x)/sqrt(1-x)
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∫ sin^-1(x) / √(1 - x^2) dx
∫ sin^-1(x) * (1 / √(1 - x^2)) dx ===> u-sub
u = sin^-1(x)
du = (1 / √(1 - x^2)) dx
∫ u * du
u^2/2 + C
(1/2) * ( sin^-1(x) )^2 + C
∫ sin^-1(x) * (1 / √(1 - x^2)) dx ===> u-sub
u = sin^-1(x)
du = (1 / √(1 - x^2)) dx
∫ u * du
u^2/2 + C
(1/2) * ( sin^-1(x) )^2 + C
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