Question

Integrate the following w.r.t. $x$
$\frac{1}{2x+3}$

Answer 1

$y=\frac{1}{2x+3}$
Integrating both sides w.r.t. $x$, we get
$I=\int ydx=\int \frac{dx}{2x+3}=\frac{ln|2x+3|}{2}+c$.