Question

I need help with some integration

Answer 1

\[\int\limits_{?}^{?} (xdx)/\sqrt(1-x^2)\]

Answer 2

let \[u=1-x^2\]\[\text d u =-2xdx\]

Answer 3

\[\int\frac{x}{\sqrt{1-x^2}}\text d x\rightarrow-\frac{1}{2}\int \frac 1{\sqrt{u}}\text d u=-\frac{1}{2}\int u^{-1/2}\text d u\]

Answer 4

now just integrate and substitute back u=1-x^2,
dont forget the constant of integration