Evaluating this integral

I've attached a problem I'm working on involving a tricky antiderivative and two variables in the integral. First off, I know part of the antiderivative will be sin(u^3) but going by the chain rule wouldn't I have to do something else to it to get the complete antiderivative? Would the antideriv. just be sin(u^3)/3u^2 or am I going about this wrong? Once I get the antiderivative I think I can solve the rest, if you guys could just help me out with that portion I'd appreciate it.

You're not told to find its antiderivative, you need to apply the FTC.

See http://www.mathhelpforum.com/math-he...-function.html, it's the same question, other variables, that's all.

Hahah oh man, stupid mistake. My bad.