Evaluate (\integral\_{}^{}\sqrt{1 + \cos 2x}) dx | MATH - FUNDAMENTAL INTEGRATION | SolveeIt | Solveeit

Today, August 18

Question

Evaluate $\int_{}^{}\sqrt{1 + \cos 2x}$ dx

A

$\sqrt{2}$ sin x + c

B

$\sqrt{2}$ cos x + c

C

$\sqrt{2}$ tan x + c

D

None

Answer

$\sqrt{2}$ sin x + c

Explanation

Solution

$\int_{}^{}\sqrt{2\cos^{2}x}$ dx = $\sqrt { 2 }$ $\int_{}^{}{\cos x}dx$

= $\sqrt { 2 }$ sin x + c