Explore BrainMass

# Partial Fraction Decomposition

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Please see the attached file for the fully formatted problems.

Partial fraction decomposition is a technique used to convert a fraction with a polynomial numerator and a polynomial denominator into the sum of two or more simpler fractions. It eases integration by reducing it to the sum of integrals, each of which will most likely give an answer of the form ln(x+a). And Electrical Engineers doing control problems will use this technique when dealing with transfer functions.

Example 1) S (x2 + 3x + 1)/(x3 +6x2 + 11x + 6) dx = ?

Example 2) S (x + 5)/(x2 -4x + 4) dx = ?

Â© BrainMass Inc. brainmass.com March 6, 2023, 1:17 pm ad1c9bdddf
https://brainmass.com/math/integrals/partial-fraction-decomposition-13157

#### Solution Summary

Indefinite integrals are solved using partial fraction decomposition.

\$2.49