Section 5.5 Worksheet:

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

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

2. How does the substitution rule play out 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 the chain rule is so important to differentiation!