To calculate: The value of given
Answer to Problem 32E
The value of the given integral is
Explanation of Solution
Given information:
The integral is
Formula used:
Calculation:
Use long division to rewrite the original integrand
Factor the denominator as the product of the linear factors
Now the leftmost term of the given integral can be written as,
Here,
The coefficient of
Solving this system of linear equations of
So,
Now, the integral is formed the term,
The obtained integral can be simplified as,
Therefore, the value of the given integral is
Chapter 5 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning