Compute the following integrals:
(a) ∫ x 2 sin ( x 3 ) d x {\displaystyle \int x^{2}\sin(x^{3})~dx}
(b) ∫ − π 4 π 4 cos 2 ( x ) sin ( x ) d x {\displaystyle \int _{-{\frac {\pi }{4}}}^{\frac {\pi }{4}}\cos ^{2}(x)\sin(x)~dx}
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