Question

How would i go about using partial fraction decomposition on the integral, (int) (x+2)/(x^2+4x+5) dx.
Is there a way to do this utilizing complex number decomposition?

Answer 1

well, if you insist on using partial fractions, you want something like
(x+2)/(x^2+4x+5) = A/(x - (2-i)) + B/(x - (2+i))
so, what do you get for that?

Answer 2

oops. That should be
(x+2)/(x^2+4x+5) = A/(x - (-2-i)) + B/(x - (-2+i))