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Study Guide

More good news about integrating by partial fractions: there's only one way to integrate definite integrals.

- Find an antiderivative of the integrand.

- Use the Fundamental Theorem of Calculus.

There's also a little bit of possibly-less-than-good news: to simplify your answers to these sorts of integrals, you'll need to remember some tricks for rearranging logarithmic expressions.

- A sum of logs is the log of the product:

ln*a*+ ln*b*= ln(*a*+*b*)

- A difference of logs is the log of the quotient:

- The coefficient of a log can be turned into an exponent:
*a*ln*b*= ln*b*^{a}

We've already seen that when integrating rational functions, we more often than not get an answer with some logarithms in it. These should be pretty useful then for simplifying our answers.

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