Question

Evaluate :
$\int \frac{\sin x}{\sqrt{{\cos }^{2}x}}dx$

Answer 1

$\int \frac{\sin x}{\sqrt{{\cos }^{2}x}}dx$

$=\int \frac{\sin x}{\cos x}dx$

$=\int \tan xdx$

$=\log \left|\sec x\right|+c$ where $c$ is the constant of integration.