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.


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