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Use in your own words to discuss how you solve the integration of rational functions. Make...

Use in your own words to discuss how you solve the integration of rational functions. Make sure that you include all methods which we have discussed in our class.

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In order to convert improper rational function into a proper one, we can use long division: P(x)Q(x)=F(x)+R(x)Q(x), where F(x) is a polynomial, R(x)Q(x) is a proper rational function. To integrate a proper rational function, we can apply the method of partial fractions.

* The denominators of the partial fractions can contain non repeated linear factors, repeated linear factors, non repeated irA y to evaluate integrals of partial fractions with linear or quadratic denom inators, We use the following o formulas: Adn A3. tat Linctum) +2+ m2 dt S +2+m2 I arctan t m m 5. (+2+m2) k 1 20- )(+2+m-]K-1 Finally, the integral se tamoyi can be evalua

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