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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![Certainly! Here is the transcription of the image:
---
It can be shown that
\[
\int_{1}^{3} e^x \, dx = e^3 - e.
\]
Use this fact and the properties of integrals to evaluate
\[
\int_{1}^{3} -4e^{x+2} \, dx.
\]
[ ] (This represents an input box for the answer.)
---
For the task at hand:
1. You can use the fact that scaling and shifting properties of integrals allow you to manipulate the integral accordingly.
2. Recognize that \( e^{x+2} = e^x \cdot e^2 \).
3. Apply these to solve the problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6acc7099-89c3-4cde-aa7d-6eca9bf4997e%2F6ab877c0-fd19-45f5-8515-5ea043ecf28d%2F6t7111a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Here is the transcription of the image:
---
It can be shown that
\[
\int_{1}^{3} e^x \, dx = e^3 - e.
\]
Use this fact and the properties of integrals to evaluate
\[
\int_{1}^{3} -4e^{x+2} \, dx.
\]
[ ] (This represents an input box for the answer.)
---
For the task at hand:
1. You can use the fact that scaling and shifting properties of integrals allow you to manipulate the integral accordingly.
2. Recognize that \( e^{x+2} = e^x \cdot e^2 \).
3. Apply these to solve the problem.
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