sqrt(x sin x)

Evaluate int_(0)^(pi//2) (sqrt( sin x))/(sqrt(sin x)+ sqrt(cos x))dx.

For the functioin y = sqrt (sin x + sqrt ( sin x + sqrt (sin x + ...oo))) (dy)/(dx) is :

If f(x)=|(10(sqrt(cos x)-sqrt(sin x))(sqrt(cos x)+ sqrt(sin x)))/(cos x+ sin x)| then number of natural numbers in the range of f(x) is

cot^(-1)((sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x)))=(x)/(2)

Check whether the function h(x)=(sqrt(sin x)-sqrt(tan x))(sqrt(sin x)+sqrt(tan x)) is whether odd or even.