$$\int \frac{2x+3}{(x-1)(x+2)} dx$$ integralinin sonucu aşağıdakilerden hangisidir?
A) $$\frac{5}{3}\ln|x-1| + \frac{1}{3}\ln|x+2| + C$$
B) $$\frac{5}{3}\ln|x-1| - \frac{1}{3}\ln|x+2| + C$$
C) $$\frac{1}{3}\ln|x-1| + \frac{5}{3}\ln|x+2| + C$$
D) $$\frac{1}{3}\ln|x-1| - \frac{5}{3}\ln|x+2| + C$$