009B Sample Midterm 1, Problem 2

Evaluate the indefinite and definite integrals.

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

(b)   Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int _{\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{\cos(x)}{\sin^2(x)}~dx}

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