1/23/2009

• Integration by Partial Fractions, continued
• What if there’s a repeated irreducible factor in q(x)?
• What if there’s an irreducible quadratic in q(x)?
• What if there’s an irreducible cubic (or higher) in q(x)?
• Challenge Problem: #6 on Partial Fractions Worksheet

• Trigonometric Antiderivatives: Section 8.3
• Powers of Trig Functions

§ Useful trig identities

§ Example: #7 on IBP worksheet:

• Trig substitutions

§ Special kind of substitution

§ How do you choose what to substitute?

If the integrand involves…	…substitute

• Examples

Practice Problems: Section 8.2: #20; Section 8.3: #11, 15, 24, 26, 44; Section 8.4: #11, 13, 15, 24

Reading Assignment: Please re-read Section 8.3 for class on Monday.

Note: Homework #2 (Section 8.3) has been slightly altered!