# Math Help - how to integrate this weird function

1. ## how to integrate this weird function

integrate x/(1-x^2 + squareroot(1-x^2).

2. Originally Posted by twilightstr
integrate x/(1-x^2 + squareroot(1-x^2).
I suppose you mean $\int \frac x{1 - x^2 + \sqrt{1 - x^2}}~dx$ ?

A substitution of $u^2 = 1 - x^2$ yields the integral $- \int \frac 1{u + 1}~du$ (i leave it to you to verify this).

from there, you should be able to handle it