Hi guys, I'm stuck on this problem:
Let S be the solid obtained by rotating the region bounded by the curves y=sin(x^2) and y=0, with 0<= x <=sqrt(pi), about the y-axis. Use cylindrical shells to find the volume of S.
I get as far as finding the circumference (2pi(x)), the height (sin(x^2)) and then the integral from 0 to sqrt(pi) of 2pi(x)(sin(x^2))
I thought I could use integration by parts but I don't know how to find the integral of sin(x^2). I wolframed it but I got something with the "fresnel function" which I've never heard of. Any advice is appreciated
Edit, I just realized I might just be able to use substitution on that integral :S, will try it.