Hey I was wondering if I can have some help with an integration problem. The integral is cos(x)/sqrt(x) dx. They tell me to use the substitute u = 2 sqrt(x).

The u is nice because when we find du = 1/sqrt(x) dx. Now im stuck with the integral of cos(x) du.

I tried to solve for x in terms of u and x = (u^2)/4

Replacing I get the integral of cos(u^2/4)du.

This is where im stuck.

Any help is appreciated. Thanks