Please let me know the best way to solve this problem.Thanks.

sorry,i didn't make myself clear. Actually it is not about the partial fraction part but the part after the partial fractial.I get ∫(3-X) / (X^2+3)(X+3) dx = [1/2][ ∫1/(x+3) ]dx + [1/2][ ∫(1-x)/(x^2+3) ]dx and i try to use intergrate by part to solve the part [1/2][ ∫(1-x)/(x^2+3) ]dx but it seem to be endlessly. So i wander if there is other easier method to solve it or what i had done wrong.