`y=sqrt(sin x+sqrt(sin x)+sqrt(sin x)+sqrt(sin x)+sqrt(sin x)+sqrt(sin x))`

(cos x)/(sqrt(1+sin x))

cot^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))]=

int sqrt((1-sin x))dx

int(dx)/(sqrt(1+sin x))

Prove that cot^(-1) ((sqrt(1 + sin x) + sqrt(1 - sin x))/(sqrt(1 + sin x) - sqrt(1 - sin x))) = (x)/(2), x in (0, (pi)/(4))

sqrt(sin 2x) cos 2x

int sqrt(1+sin (x/2))dx

int(sin sqrt (x+1))/sqrt (x+1)dx

int(1)/(sqrt(1-sin x))dx

Evaluate: int_0^(pi//2)(sqrt(sin x))/(sqrt(sin x)+sqrt(cos x))dx