Question

integration of √(1+cos2x)​

Answer 1

your answer.........

$\: \: \: = \int \: \sqrt{1 + \cos(2x) } dx \\ \\ = \int \sqrt{2 \cos {}^{2} ( {x}^{} ) }dx \\ \\ \: \: = \int \sqrt{2} \times \cos(x) dx \\ \\ \ \: \bold \green{ = \sqrt{2} \times \sin(x) + c} \: \: \boxed{ \: ans}$