Mathematics 134 -- Intensive Calculus 2

Quiz 4 -- Things to Know

February 21, 2001

The fourth quiz of the semester will be given in class on Friday, February 23. There will be two improper integrals and one problem where you will have to compute a volume of a solid by slicing (and integration). The integrals involved will be "simple" ones that you can do by basic rules (possibly after a substitution), so I will not provide a copy of the table of integrals this time.

Topics to Know

• Improper integrals over infinite intervals -- evaluate the integral over finite intervals and take a limit
• Improper integrals over intervals where the integrand has an infinite discontinuity (vertical asymptote) -- evaluate the integral over intervals not containing the asymptote and take a limit.
• Volumes by slicing -- volume is integral of the cross section area function.

Good Review Problems:

1. Chapter 7, section 7 -- problems like 1-25
2. Chapter 8, section 1 -- problems like 6-11