009B Sample Midterm 1, Problem 3

Evaluate the indefinite and definite integrals.

a) Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \int x^{2}e^{x}dx}

b) $\int _{1}^{e}x^{3}\ln x~dx$

Foundations:
Review integration by parts

Solution:

Step 1:

Step 2:

Final Answer:

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