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
No. If the problem is correct (and I have my doubts that it is), then you have to integrate . This is not the same as . In fact, cannot be found using a finite sum of elementary functions (which is what I'm assuming the OP wants to do). It's a Fresnel integral: Fresnel integral - Wikipedia, the free encyclopedia