# Thread: need help with this integral

1. ## need help with this integral

hi i was hoping someone could help me out with solving this integral

integral of (x^2) / ((x^4) + (x^2) +1) dx

2. ## Partial fractions

Use $x^4+x^2+1=(x^2-x+1)(x^2+x+1)$ to perform a partial fraction decomposition of $\frac{x^2}{x^4+x^2+1}$ into fractions with quadratic denominators. Completing the square and u-substitutions should allow you to find the integral in terms of logarithms and/or arctangents.

--Kevin C.