Thursday, February 4, 2010

Integration by Partial Fractions


So today in class we started Integration by partial fractions. To integrate using partial fractions, in the rational function, the degree of the top always has to be less than the degree of the bottom. If it is not, then you have to divide the two. To use integration by partial fractions, the bottom function should be factorable. Once you factor it, put A and B over the two factors. Cross multiply, so you end up with the top of the rational function on the left side, and A times one factor plus B times the other factor on the other side. Set one factor equal to zero and solve A or B of the other factor using the x you used to make the first factor zero. Then replace A and B with their values, and integrate!!

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