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Home Exponential and Logartihmic Functions Integration of Rational Functions Examples Example 3
 
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Example 3

08_exp-log_functions-447.gif

Step 1

This time the numerator already has smaller degree than the denominator, so no long division is needed.

Step 2

Break the rational function into a sum of partial fractions. The denominator can be factored as

x3 + 3x2 + 3x + 1 = (x + 1)3.

It turns out that

08_exp-log_functions-448.gif

This can again be readily checked.

Step 3

08_exp-log_functions-449.gif

Home Exponential and Logartihmic Functions Integration of Rational Functions Examples Example 3

Last Update: 2006-11-15