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# Class Note for MATH 129 with Professor Shieh at UA

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COURSE
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TYPE
Class Notes
PAGES
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WORDS
KARMA
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This 1 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Arizona taught by a professor in Fall. Since its upload, it has received 15 views.

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Date Created: 02/06/15
THE KEY IDEAS OF 74 1 Integration by using Method of Partial Fraction Key Idea In the rst part of this section we want to nd inde nite integral of rational functions anz an71zn 1 alz do dz bmlm bmilr mil 1111 be The strategy of doing this is to decompose the rational function into the sum of the following basic rational functions 0 z for nonnegative integer n 2 0 o 1 n for some constant a and positive n gt 0 7zia o 75where z2 bz c is unfactorable and A B b c are some constant and positive n gt 0 Since we already known the inde nite integral of such basic rational functions this can help us to inde nite integrals of all rational functions There are several things you have to know The following wellknown basic inde nite integral formulas 02quot n1 o fz dz C where n is a constant n f 71 flnlzlC f dzarctanc f dz k f dz where k is a constant i dz f dz i dz Solving systems of linear equations You could use Guassian elimination to solve the systems of linear equations There are some reference you can read about the Gaussian elimination 0 Wikipedia httpenwikipediaorgwikiGaussianelimination o httpwwwsosmathcommatrixsystemlsystemlhtml More Reference about partial fraction 0 Wikipedia httpenwikipediaorgwikiPartialiraction

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