Math 3C, Review Problems
The prerequisite for Math 3C is Math 3B. You will need to know about integrals.
Here are two examples.
Review problem:
Z∞
0
xe−λx dx =1
λ2(λ > 0)
This problem involves integration by parts (§7.2), improper integrals (§7.4), and
L’Hˆopital’s rule (§5.5). We will need this integral for the expected value of the expo-
nential distribution in §12.5.4.
Review problem:
Z∞
0
xe−x2/2dx = 1
This problem involves substitution (§7.1), . . .. We will need this integral for the
expected value of the normal distribution in §12.5.2.
