12. Use substitution to convert the integral to an integral of rational functions. Then use partial fractions to evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) ex (e2x − 81)2 dx please show step by step by

12. Use substitution to convert the integral to an integral of rational functions. Then use partial fractions to evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) ex (e2x − 81)2 dx please show step by step by

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 43CR

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Question

12.

Use substitution to convert the integral to an integral of rational functions. Then use partial fractions to evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.)

e^x

(e^2x − 81)²

please show step by step by

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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