Write out the form of the partial fraction decomposition of the function appearing in the integral: 2x238 √² + 2x-63 Determine the numerical values of the coefficients, A and B, where A B and A = B = 2x 238 x² + 2x - 63 A denominator da B denominator
Write out the form of the partial fraction decomposition of the function appearing in the integral: 2x238 √² + 2x-63 Determine the numerical values of the coefficients, A and B, where A B and A = B = 2x 238 x² + 2x - 63 A denominator da B denominator
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Partial Fraction Decomposition and Integration Problem**
**Problem Statement:**
Write out the form of the partial fraction decomposition of the function appearing in the integral:
\[
\int \frac{2x - 238}{x^2 + 2x - 63} \, dx
\]
**Objective:**
Determine the numerical values of the coefficients \( A \) and \( B \), where \( A \leq B \) and
\[
\frac{2x - 238}{x^2 + 2x - 63} = \frac{A}{\text{denominator}} + \frac{B}{\text{denominator}}
\]
**Inputs Required:**
- \( A = \) [ ]
- \( B = \) [ ]
**Note:** You can earn partial credit on this problem.
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- [Preview My Answers]
- [Submit Answers]
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Transcribed Image Text:**Partial Fraction Decomposition and Integration Problem**
**Problem Statement:**
Write out the form of the partial fraction decomposition of the function appearing in the integral:
\[
\int \frac{2x - 238}{x^2 + 2x - 63} \, dx
\]
**Objective:**
Determine the numerical values of the coefficients \( A \) and \( B \), where \( A \leq B \) and
\[
\frac{2x - 238}{x^2 + 2x - 63} = \frac{A}{\text{denominator}} + \frac{B}{\text{denominator}}
\]
**Inputs Required:**
- \( A = \) [ ]
- \( B = \) [ ]
**Note:** You can earn partial credit on this problem.
**Options:**
- [Preview My Answers]
- [Submit Answers]
**Additional Information:**
- You have attempted this problem 0 times.
- You have unlimited attempts remaining.
**Support:**
- [Email Instructor]
**Footer:**
- Page generated at 10/29/2022 at 06:00pm MST
- WeBWorK © 1996-2021 | theme: math4 | version: 2.16 | pg_version 2.16 | The WeBWorK Project
---
This text will appear on an educational website to guide students through a partial fraction decomposition exercise, providing input fields for solutions and interactive options for feedback and assistance.
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