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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![**Problem Statement:**
Find the integral:
\[
\int \frac{6}{x} \, dx
\]
**Solution:**
To solve the above integral, notice that it is an integral of the form \(\int \frac{k}{x} \, dx\), where \(k\) is a constant. The integral can be computed using the natural logarithm:
\[
\int \frac{k}{x} \, dx = k \ln |x| + C
\]
Applying this to the given integral:
\[
\int \frac{6}{x} \, dx = 6 \ln |x| + C
\]
where \(C\) is the constant of integration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe154de4-6b45-4ace-af18-81223f5efac3%2Fd8e2fa6b-1bd6-41cb-9dbb-83bb48ba3db7%2Fwjkxh4f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the integral:
\[
\int \frac{6}{x} \, dx
\]
**Solution:**
To solve the above integral, notice that it is an integral of the form \(\int \frac{k}{x} \, dx\), where \(k\) is a constant. The integral can be computed using the natural logarithm:
\[
\int \frac{k}{x} \, dx = k \ln |x| + C
\]
Applying this to the given integral:
\[
\int \frac{6}{x} \, dx = 6 \ln |x| + C
\]
where \(C\) is the constant of integration.
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