## Thomas' Calculus 13th Edition

$\frac{2}{3}sin^{3/2}x-\frac{2}{7}sin^{7/2}x+C$
Let u=$sin x=>du=cosxdx$ =$\int \sqrt{sinx}(1-sin^2x)cosxdx$ =$\int (u^{1/2}-u^{5/2})du$ =$\frac{2}{3}u^{3/2}-\frac{2}{7}u^{7/2}+C$