007B Sample Midterm 3, Problem 2

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Compute the following integrals:

(a) $\int x^{2}\sin(x^{3})~dx$

(b) $\int _{-{\frac {\pi }{4}}}^{\frac {\pi }{4}}\cos ^{2}(x)\sin(x)~dx$

(insert picture of handwritten solution)

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