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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Can I get readable handwriting please? :)
![**Problem 5: Evaluate the Integral**
Evaluate the integral given below:
\[ \int e^x \, dx \]
To solve this, recall that the integral of \(e^x\) with respect to \(x\) is \(e^x + C\), where \(C\) is the constant of integration. Therefore:
\[ \int e^x \, dx = e^x + C \]
This basic rule of integration is derived from the fact that the derivative of \(e^x\) with respect to \(x\) is \(e^x\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F469aef3b-31ef-41c9-aa0d-266ee90c84d9%2F74e7730f-7734-4532-914c-b4bb38a94c22%2Fvwpmn5_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 5: Evaluate the Integral**
Evaluate the integral given below:
\[ \int e^x \, dx \]
To solve this, recall that the integral of \(e^x\) with respect to \(x\) is \(e^x + C\), where \(C\) is the constant of integration. Therefore:
\[ \int e^x \, dx = e^x + C \]
This basic rule of integration is derived from the fact that the derivative of \(e^x\) with respect to \(x\) is \(e^x\).
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