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Unformatted text preview: Solution: We begin by completing the square of the quadratic expression: Integration can now be done by trig substitution or a variation there of. From this we obtain Integrating rational functions 5.5 Definition − Any function which is a quotient of polynomials is called a rational function . 5.6 When to perform long division − If an integrand is a rational function in which the degree of the denominator is less than or equal to the degree of the numerator we normally try to express it at a sum of two simpler rational functions by performing " long division ". 5.6.1 Example − Find Solution: 5.6.2 Example − Find Solution: In the next lecture we consider integration of rational functions where the degree of numerator is less than the degree of the denominator....
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This note was uploaded on 11/10/2011 for the course MATH 138 taught by Professor Anoymous during the Spring '07 term at Waterloo.
 Spring '07
 Anoymous
 Calculus, Completing The Square, Integrals, Rational Functions

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