Partial fractions decomposition?

[paiway]

I'm trying to solve this integral but I'm not sure if I'm on the right track. My question is: can this integral be solved by partial fractions decomposition? I solved the problem that way but I'm not sure if it is the right answer. thanks!

∫1-x+2x^2-x^3 ÷ x(x^2+1)^2

 

[Dick]

Yes, it can be solved by partial fractions. The denominator is already factorized.