Question

Question #1eebf

Answer 1

`int(cos(2x)/sqrt(1+sin(2x)))dx = sqrt(1+sin(2x))+ C`

Explanation:

Let `u = 1 + sin(2x)`, then `du = 2cos(2x)dx`

`cos(2x)dx = 1/2du`

`int(cos(2x)/sqrt(1+sin(2x)))dx =`

`1/2int(1/sqrtu)du =`

`sqrtu+C =`

`sqrt(1+sin(2x))+ C`