Mathematics 134 -- Intensive Calculus 2

Quiz 2 -- Things to Know

January 31, 2001

I will not be on campus on Friday, February 2 because of an illness in my family. Prof. Damiano of our department will "cover for me" that day, administer the quiz, go over the quiz problems with you, and collect your problem sets. There will be four or five integrals similar to problems from the second problem set.

Topics to Know

1. Integrals by substitution:
   • Be able to determine a reasonable substitution u = g(x) given functions to be integrated like the ones from Problem Set 2
   • Compute du = g'(x)dx
   • Convert all terms in the integral to functions of u
   • Integrate
   • Re-substitute to express result in terms of the original variable
2. Definite integrals by substitution

Good Review Problems:

1. Chapter 7, section 1 -- problems like 11-41
2. Chapter 7, section 2 -- problems like 1-27