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...
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Question
Solve by partial fractions 199
![Certainly! Here's the transcribed content suitable for an educational website:
---
### Integral Problems for Practice
**Problem 198:**
\[ \int \frac{dx}{x^3 - x} \]
**Problem 199:** (Highlighted)
\[ \int \frac{x}{x^2 - 4} \, dx \]
**Problem 200:**
\[ \int \frac{dx}{x(x - 1)(x - 2)(x - 3)} \]
**Problem 201:**
\[ \int \frac{2x^2 + 4x + 22}{x^2 + 2x + 10} \, dx \]
**Problem 202:**
\[ \int \frac{dx}{x^2 - 5x + 6} \]
---
These integrals are designed to test your skills in calculus, focusing on rational functions. Make sure to consider partial fraction decomposition where applicable for the proper evaluation of these integrals.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03fd5f25-eded-4046-9c65-9e89b5e28b89%2F8625dd4b-3eac-486f-af4f-01320098adbf%2Fgcgb6fa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Here's the transcribed content suitable for an educational website:
---
### Integral Problems for Practice
**Problem 198:**
\[ \int \frac{dx}{x^3 - x} \]
**Problem 199:** (Highlighted)
\[ \int \frac{x}{x^2 - 4} \, dx \]
**Problem 200:**
\[ \int \frac{dx}{x(x - 1)(x - 2)(x - 3)} \]
**Problem 201:**
\[ \int \frac{2x^2 + 4x + 22}{x^2 + 2x + 10} \, dx \]
**Problem 202:**
\[ \int \frac{dx}{x^2 - 5x + 6} \]
---
These integrals are designed to test your skills in calculus, focusing on rational functions. Make sure to consider partial fraction decomposition where applicable for the proper evaluation of these integrals.
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