Question

$$\int\frac{dx}{\sqrt{4x^{2}-9}}$$

Evaluate

$\frac{\ln(|\sqrt{4x^{2}-9}+2x|)}{2}+С$

Differentiate w.r.t. x

$\frac{1}{\sqrt{4x^{2}-9}}$
$|x|\geq \frac{3}{2}$