Basic Examples (1) 

Perform a partial fraction decomposition:

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Scope (3) 

In this example we compute the partial fraction expansion prior to computing the integral with Integrate:

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IntegratePFD gives different results than Integrate:

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Another example:

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Options (2) 

Extension (2) 

By default this integral produced an ArcTan, as expected:

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With the following extension we factor x²+1 into (x-I)(x+I) prior to computing the partial fraction decomposition:

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Applications (1) 

Compute the integral over different algebraic number fields until you find a solution which matched your homework problem:

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Properties and Relations (2) 

Integrate and IntegratePFD will both return valid antiderivatives, however the results will often look vastly different:

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The two results are equivalent:

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Possible Issues (1) 

Sometimes Integrate will give a more concise answer than IntegratePFD:

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Neat Examples (1) 

IntegratePFD may be used to generate many alternative forms of an integral by factoring the denominator over different algebraic number fields:

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