007B Sample Midterm 1, Problem 3

Evaluate the indefinite and definite integrals.

(a)   $\int x^{2}{\sqrt {1+x^{3}}}~dx$

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

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