009B Sample Midterm 1, Problem 3

Evaluate the indefinite and definite integrals.

a) $\int x^{2}e^{x}dx$

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

Foundations:
Review integration by parts

Solution:

(a)

Step 1:

Step 2:

(b)

Step 1:

Step 2:

Final Answer:
(a)
(b)

Return to Sample Exam