1. The problem statement, all variables and given/known data the indefinite integral of x/(x^4+x^2+1) 2. Relevant equations n/a 3. The attempt at a solution I didn't see an obvious u-substitution and it didn't look like a partial fractions candidate to me since the bottom is not easily factored. It doesn't look like any of the inverse trig forms. I didn't see how it could be integrated by parts, so I was pretty much lost. I tried letting u = x^2 so that du would = 2xdx in order to get rid of the x in the numerator, but that didn't really help me as I was left with 1/(u^2+u+1) and that isn't really much better than the original problem I also tried completing the square in the denominator to get (x^2+1)^2-x^2 my idea was to then allow u to =(x^2+1) and du would equal 2xdx. this left me with the exact same integral as before (of course) and didn't help. I'm stuck. I'm almost sure that there has to be a substitution I can use to get the integral, but I haven't the faintest idea what it is. I can't see anything that looks promising.