Is My Integration by Parts on \(\int \frac{1}{(x-1)(x+2)} \, dx\) Correct?

[X'S MOMMY]

Homework Statement

INTEGRAL 1/ (X-1)(X+2) DX

Homework Equations

I LET U = X+2 DU=X

The Attempt at a Solution

I GOT LN/(X+2)/+C I JUST DONT KNOW IF IM DOING IT RIGHT

 

[rocomath]

Use partial fractions or find the formula for that integral.

$$\int\frac{dx}{(x+a)(x-b)}$$