Partial fractions decomposition with a repeated irreducible quadratic factor.

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We integrate (x^2+2x+1)/(x^2+1)^2 using partial fractions. Because the irreducible quadratic factor is repeated in the denominator, we have to propose a decomposition with two terms: one with x^2+1 in the denominator, and a second with (x^2+1)^2 in the denominator.

[cejkisondrej]

How would you integrate it when D wasnt zero? There could be sth like integrate(1/(x^2+1)^2) and u-substitution couldnt be used here...