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Integration by Parts
Partial Fractions
Integration by Parts Integration by parts is a technique for performing integration by expanding the differential of a product of functions and expressing the original integral in terms of a known integral . A simple example illustrates the method of Integration by parts. A complicated algebraic fraction can often be reduced to to its equivalent partial fractions such that it allows an integration process to be simplified. A typical example is shown below Rules for Partial fractions A simple example of the application of these rules is as follows The equations are solved for A and B as follows A second example is provide below Partial Fractions Cover up rule There are many simple cases where the cover up method can be used . This method only applies if the denominator of the original fraction has nonrepeated , linear factors. The method is illustrated by the following example. 
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Last Updated 01/05/2010