Evaluate the integral dx (a) Find and use a substitution, which leads to integration of a rational function. (b) Is the obtained rational function proper or improper? If improper, use the long division to simplify. Do not skip any steps. (c) Use partial fraction decomposition to reduce the rational function to a sum of elementary rational functions. Show all the steps. (d) Evaluate the integral (do not forget to return to the original variable).

Evaluate the integral dx (a) Find and use a substitution, which leads to integration of a rational function. (b) Is the obtained rational function proper or improper? If improper, use the long division to simplify. Do not skip any steps. (c) Use partial fraction decomposition to reduce the rational function to a sum of elementary rational functions. Show all the steps. (d) Evaluate the integral (do not forget to return to the original variable).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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