1. The problem statement, all variables and given/known data Integrate (x^3 - 8x^2 - 1)/((x+3)(x^2-4x+5)) 2. Relevant equations This is an integration by partial fractions. 3. The attempt at a solution http://www.wolframalpha.com/input/?i=integral+%28%28x^3-8x^2-1%29%2F%28%28x%2B3%29%28x^2-4x%2B5%29%29%29dx I understand everything except where the integrand is rewritten after finding A, B, and C of the partial fraction decomposition. If anyone can help me understand how the integrand is rewritten that would be great. I just cannot make any sense out of it. Thanks Edit: If anyone is unfamiliar with WolframAlpha there is a "show steps" button in the top right corner of the problem statement, this is what I am referring to. It is about the 4th step down, rewrite the integrand.