Question

Integrate the following function: $\frac{sin^{-1}x}{\sqrt{1-x^2}}$

Answer 1

Let sin^-1x= t
Differentiating both sides,
$\frac{1}{ \sqrt{1 - x ^{2} } } = \frac{dt}{dx}$
so,
$dx = \sqrt{1 - {x}^{2} } .dt$
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