Question

integral of 1/sqrt{1+cos(x)}

Answer 1

Step-by-step explanation:

We have

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

$= \int \frac{dx}{ \sqrt{2 \cos^{2} ( \frac{x}{2} ) } }$

$= \frac{1}{ \sqrt{2} } \int \frac{dx}{ \cos( \frac{x}{2} ) }$

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

$= \sqrt{2} . ln \: | \sec( \frac{x}{2} ) + \tan( \frac{x}{2} ) | + c$

Answer 2

Answer:

HOPE THIS HELPS

PLEASE MARK BRAINIEST