Section 5.5 Worksheet:

Assigned problems: Exercises pp. 361-363, #4, 6, 16, 23, 30, 31, 51, 57 (due Thursday, 4/3).

1. How is the substitution rule (p. 357) related to the chain rule?

2. How is the substitution rule of p. 357 modified for definite integrals?

3. How can symmetry help us evaluate integrals?

4. Why do the limits change in the substitution rule for definite integrals (p. 359)?

Notes:

1. This (the substitution rule) is the first (and arguably most useful) of several rules that help us to solve integrals. It is so important to integration because compositions are so common, and the chain rule (by which we differentiate compositions) is so important to differentiation.