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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...
Question
The image shows the integral:

\[
\int \frac{1}{x^2 - 4} \, dx
\]

This integral represents the process of finding the antiderivative of the function \(\frac{1}{x^2 - 4}\) with respect to \(x\). The expression \(x^2 - 4\) can be factored as \((x - 2)(x + 2)\), which may suggest the use of partial fraction decomposition to simplify the integration process.
Transcribed Image Text:The image shows the integral: \[ \int \frac{1}{x^2 - 4} \, dx \] This integral represents the process of finding the antiderivative of the function \(\frac{1}{x^2 - 4}\) with respect to \(x\). The expression \(x^2 - 4\) can be factored as \((x - 2)(x + 2)\), which may suggest the use of partial fraction decomposition to simplify the integration process.
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