Question

Trig integrals. sqrt(1-cos2x)dx

Answer 1

1 - cos 2 x = 1 - ( cos² x - sin² x ) = 1 - cos² x + sin² x = sin² x + sin² x =
= 2 sin² x

`\int { \sqrt{2sin ^(2) x} } \, dx = √(2) \int {sinx} \, dx =`
= - √2 cos x + C