Question

partial integrat 1 by (x+1)(x+2)​

Answer 1

Step-by-step explanation:

We have,

$\int \frac{dx}{(x + 1)(x + 2)}$

$= \int \frac{(x + 2) - (x + 1)}{(x + 2)(x + 1)} dx$

$= \int \frac{dx}{x + 1} - \int \frac{dx}{x + 2}$

$= ln(x + 1) - ln(x + 2) + c$

$= ln( \frac{x + 1}{x + 2} ) + c$