Answer to Question #163077 in Calculus for Pia

Question

Intergate completely.

∫(4x^5-15x^4-x^3+12x^2+2x+3)/(x^2-3x-2)dx

Answer 1

Answer is

$x^{4}-x^{3}-x^{2}+\ln \left|\left(x-\frac{3}{2}\right)^{2}+\frac{1}{4}\right|+C$

Explanation below