Math 125 Week 5: Dept of Math, Univ of Washington

Math 125 – Week 5

Week 4 outline

Math 125 main page

Week 6 outline

What Where Link

Reading Text – 7.1, 7.2 and 7.3

Worksheet Website – Integration by parts IntByParts.pdf
Worksheet 5 Solutions

Homework WebAssign WebAssign site for UW

Student Guide:

Chapter 7 is devoted to techniques for computing integrals. Some of these can be rather challenging. We start with Integration by Parts in Section 7.1. This is basically the Product Rule done backwards. Once you get the hang of it, you should not find it too difficult.

The Trigonometric Integrals in Section 7.2 are needed to do Trigonometric Substitution in Section 7.3. Some of the integrals in Section 7.2 can get quite lengthy (and tricky, see Example 8).

You may find that you need to review some trigonometry, and completing the square, when studying Section 7.3. Many students find this section difficult.

The worksheet IntByParts.pdf explores the technique of Integration by Parts. It gives some ideas for choosing u and dv and shows how to use the technique to compute volumes. It also explores a common error in using the technique.

Week 4 outline

Math 125 main page

Week 6 outline