Question

11. Evaluate:) (1/(x+1)(x+2)dx​

Answer 1

Step-by-step explanation:

We have,

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

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

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

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