Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![**Question 9**
Use this partial fraction decomposition*:
\[
\frac{4 - 8x}{x^4 - 1} = \frac{-1}{x - 1} - \frac{3}{x + 1} + \frac{4x - 2}{x^2 + 1}
\]
to help you evaluate
\[
\int \frac{4 - 8x}{x^4 - 1} \, dx
\]
On your own paper:
1. Carefully copy this integral.
2. Evaluate the integral, showing all steps; write neatly and dark enough so your work is readable.
3. When finished, scan your paper—using either a scanner or a scan app on your smartphone—and upload the scan to Canvas.
*You do not need to verify the partial fraction decomposition; just use it to rewrite the integral and evaluate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10807196-ab8e-492a-bbb3-d332eaa08f35%2F2ada1023-de94-4ecb-9d3c-83283a89bdc3%2F27wmbzd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 9**
Use this partial fraction decomposition*:
\[
\frac{4 - 8x}{x^4 - 1} = \frac{-1}{x - 1} - \frac{3}{x + 1} + \frac{4x - 2}{x^2 + 1}
\]
to help you evaluate
\[
\int \frac{4 - 8x}{x^4 - 1} \, dx
\]
On your own paper:
1. Carefully copy this integral.
2. Evaluate the integral, showing all steps; write neatly and dark enough so your work is readable.
3. When finished, scan your paper—using either a scanner or a scan app on your smartphone—and upload the scan to Canvas.
*You do not need to verify the partial fraction decomposition; just use it to rewrite the integral and evaluate.
Expert Solution
Step 1
Substituting the partial fraction decomposition and integrating.
Step by step
Solved in 2 steps with 1 images
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