$\int_{{}}^{{}}{\frac{{{\sin }^{-1}}x}{{{(1-{{x}^{2}})}^{3/2}}}\ dx=}$

Question

Accepted Answer

$\frac{x}{\sqrt{1-{{x}^{2}}}}{{\sin }^{-1}}x+\frac{1}{2}\log (1-{{x}^{2}})+c$

Answer

$\frac{x}{\sqrt{1-{{x}^{2}}}}{{\sin }^{-1}}x-\frac{1}{2}\log (1-{{x}^{2}})+c$

Answer

$\frac{1}{\sqrt{1-{{x}^{2}}}}{{\sin }^{-1}}x-\frac{1}{2}\log (1-{{x}^{2}})+c$

Answer

$\frac{1}{\sqrt{1-{{x}^{2}}}}{{\sin }^{-1}}x+\frac{1}{2}\log (1-{{x}^{2}})+c$

indefinite-integration