Integration Using Partial Fractions


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Calculate integrals using partial fractions decomposition: Tutorials with examples and detailed solutions, exercises with answers are also presented at the end of the page.



Example 1: Evaluate the integral

integral for example 1

Solution to Example 1:

We use partial fractions decomposition to decompose the integrand into simpler fractions

decomposition for example 1


We now use table of integrals to integrate

solution for example 1



Example 2: Evaluate the integral

integral for example 2

Solution to Example 2:

A partial fractions decomposition of the integrand gives

decomposition for example 2


We now use a table of integrals to evaluate the integrals

solution for example 2

Exercises: Evaluate the following integrals.

1.

integral for exercise 1


2.
integral for exercise 2


Answers to Above Exercises

1.
answer to exercise 1


2.
answer to exercise 2
More references on integrals and their applications in calculus.

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Updated: 26 November 2007 (A Dendane)