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Find and antiderivative [tex]F[/tex] of [tex]f(x)=x^2\sin(x^2)[/tex] such that [tex]F(1)=0[/tex].

I thought at first that I would use [tex]u=x^2[/tex] to simplify the matter but I don't seem to get anywhere. I can't seem to figure out a way to start it off either...I was considering the Squeeze Theorem because they are functions, essentially.

Any advice/help?