What is the goal of the method of partial fractions?

Brittney Lord

Brittney Lord

Answered question

2021-10-20

What is the goal of the method of partial fractions?

Answer & Explanation

wheezym

wheezym

Skilled2021-10-21Added 103 answers

Step 1
The goal of the method of partial fractions is to integrate rational functions (a ratio of polynomials), by expressing it as a sum of simpler fractions, called partial fractions, that we already know how to integrate.
Step 2
For example:
3x1x22x3=1x+1+2x3
3x1x22x3dx=11+x+2x3dx
ln{|x+1|}+2ln{|x3|}+C
This example illustrates that if we know how the rational function splits as a sum of simpler functions, we can compute its integral fairly easily.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?