Integration of Rational Functions If the integrand is a rational function in which the degree of the numerator is greate
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Integration of Rational Functions If the integrand is a rational function in which the degree of the numerator is greate
Integration of Rational Functions If the integrand is a rational function in which the degree of the numerator is greater than or equal to the degree of the denominator, it is often helpful to re-write the integrand using long division. Suppose we want to evaluate the indefinite integral - 23 + x2 + 7x - 7 x2 + 2x + 8 d. Part 1. Re-write the integral above using long division on the integrand. x3 + x2 + 7x - 7 dr x2 + 2x + 8 =/0 Part 2 Evaluate the original integral by evaluating the integral you found in Part 1. above. 23 + x2 + 7x - 7 22 + 2x + 8 dar
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