Finding partial fraction decompositions are usually

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Unformatted text preview: x) are polynomials. An integral of a rational function may be evaluated if the rational function is expressed as sums of simpler fractions (called partial fractions ) that we already know how to integrate. Finding partial fraction decompositions are usually quite messy and students are prone to making errors. This question illustrates how Maple can be used to determine a partial fraction decomposition of a rational function. In this course, you are required to know how to find partial fraction decompositions by hand. However, you can use Maple to check your work on assignments! For example, in Maple find the partial fraction decomposition for x2 + 2x − 1 dx x(2x − 1)(x + 2) First you must tell Maple the expression for the integrand: [> restart: [> integrand := ( x∧2 + 2*x -1 ) / (x * (2*x-1) * (x+2) ); Next, enter Maple’s convert to partial fraction commmand as follows: [> convert( integrand, parfrac, x); Maple returns the partial fraction decomposition of integrand as: 1 1 1 + − 2x 5(2x − 1) 10(x + 2) At this point,...
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