Question

Integral of (1+sin2x)^1/2

Answer 1

hope this help...............

Answer 2

$\int \sqrt{(1+sin2x)}.dx \\= \int\sqrt{(1+cos(\frac{\pi}{2}-2x)}.dx \\= \int\sqrt{2}.cos(\frac{\pi}{4}-x).dx \\= \sqrt{2}\int\cos(\frac{\pi}{4}-x).dx \\= -\sqrt{2}sin(\frac{\pi}{4}-x)+C$

note: 1+cos2x =2cos^2x   by trigonometry formula