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

Foundations:
Review integration by parts

Solution:

Step 1:

Step 2:

Final Answer:

Return to Sample Exam