Question

Answer please.. .. .. ..​

Answer 1

Step-by-step explanation:

Ww have,

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

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

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

$= \int\frac{1}{2} \sec ^{2} ( \frac{x}{2} ) dx$

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