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**Unformatted text preview: **a variation there of. 5.4 Example Solve 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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