hi i was hoping someone could help me out with solving this integral
integral of (x^2) / ((x^4) + (x^2) +1) dx
Use $\displaystyle x^4+x^2+1=(x^2-x+1)(x^2+x+1)$ to perform a partial fraction decomposition of $\displaystyle \frac{x^2}{x^4+x^2+1}$ 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.