Section 8.3 Worksheet:

Assigned problems: Exercises pp. 522-523, #2, 6, 11, 16, 17, 25, 40 (due Wednesday, 9/10).

1. This section provides more practice in the definitions of trig functions (e.g. Figure 1) and their identities. Which identities prove to be particular useful in this section?

2. Why does the author call this technique of trig substitution an example of ``inverse substitution''?

3. What particular power function does this method allow us to eliminate from integrals?

4. What is the lesson learned in Example 4?

5. What are the definitions of the hyperbolic trig functions cosh and sinh? (You'll have to go outside of this section for this one.) Demonstrate that the two formulas found by the different solution methods in Example 5 are in fact equivalent, as asserted by the author.