Calculate the general solution that satisfies

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

Calculate the general solution

y=f(x)

that satisfies

\displaystyle \frac{dy}{dx}=\frac{3x+2}{(x-1)(x+2)}

. Express your answer in the form

y=F(x)+C

, where

C

is an arbitrary constant.