Frustrating Integral, help

Question

the integral of (x^4 + X^2 + 4) over (x^6 +4x^4 + 4x^2) then dx on the middle of the fraction

i got stuck after the partial fraction decomposition

Answer 1

Hi Niki,

are you sure that at the numerator is not x^4+4x^2+4? If this is the case you can collect a factor x^2 at the denominator and obtain x^2*(x^4+4x^2+4) which will cancel with the numerator. Then the integral will simplify and it becomes \integral(1/x^2) dx = -1/x.

Best,

Davide