Question

Find the integral of x/(sqrt(1-x^2)) dx.

Answer 1

$$
\int \cfrac{x}{\sqrt{1-x^2}} dx
$$
Let \(u=1-x^2\) then \(du=-2xdx\):
$$
\int \cfrac{-du}{2\sqrt{u}} dx=-\cfrac{1}{2}\int \cfrac{du}{\sqrt{u}} dx
$$
Can you take it from here?

Answer 2

Please wait.

Answer 3

I got it. Thanks.

Answer 4

you're welcome