1/21/2009

• Integration by Partial Fractions: Section 8.2
• The Method of Partial Fractions
  Preliminary steps:
  i. If r(x) is an improper function…
  ii. Factor (if possible)
  iii. Simplify (if possible)
  PAUSE
  Method of Partial Fractions:

1. Rewrite r(x) in terms of its partial fractions.

2. Isolate the numerators.

3. Find the values of A and B that solve the equation.

i. Method 1: Collect like powers of x and match to coefficients on the left side. Solve the system.

ii. Method 2: Pick values of x that will simplify the equation in #2.

4. Rewrite the original in terms of the partial fractions. Solve.

• Examples

• Using Maple to evaluate integrals: See P:\Data\MATH\Frazier\Calc B\Integrals.mw

• Quiz 1

Practice Problems: Section 8.2: #1, 5, 15, 17, 31, 35, 37, 38

Reading Assignment: Please read Sections 8.3 & 8.4 for class on Friday.