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Express rational functions as a sum of fractions with simpler denominators. You can apply this to telescoping series to mass cancel terms in a seemingly complicated sum.

Evaluate \[\int_6^{18}\frac{6x^2}{x^3+15x^2+72x+108}dx.\]

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by **Brilliant Staff**

What is \[\int\frac{1}{x^2+7x+6}dx?\]

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by **Brilliant Staff**

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by **Brilliant Staff**

What is \[\int\frac{x+6}{x^2-9x+20}dx?\]

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by **Brilliant Staff**

What is \[\int\frac{1}{x^2-16}dx?\]

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© Brilliant 2017

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