Partial fractions decomposition?

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

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