Evaluate the integral Select the correct answer. ( x + 6 In ( e* - 1 ) + C ○ 4x-31n (e*-1) + C 6x +41n | ex-1| + c - 4 In | ex-1| + C Ox-4 1+ 3e 1-e* dx
Evaluate the integral Select the correct answer. ( x + 6 In ( e* - 1 ) + C ○ 4x-31n (e*-1) + C 6x +41n | ex-1| + c - 4 In | ex-1| + C Ox-4 1+ 3e 1-e* dx
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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![### Integral Evaluation Problem
In this exercise, you are required to evaluate the given integral and select the correct answer from the provided options.
#### Integral to Evaluate:
\[ \int \frac{1 + 3e^x}{1 - e^x} \, dx \]
#### Multiple Choice Answers:
Select the correct answer from the following choices:
1. \( x + 6 \ln \left( e^x - 1 \right) + C \)
2. \( 4x - 3 \ln \left( e^x - 1 \right) + C \)
3. \( 6x + 4 \ln \left| e^x - 1 \right| + C \)
4. \( x - 4 \ln \left| e^x - 1 \right| + C \)
Use your knowledge of integration techniques to solve the integral and determine the correct answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24e8bfde-46ac-4815-81bc-d8be1d9c4f35%2Fc19b52f3-b60a-494f-af3a-ede0b8b87916%2F82wo5go_processed.png&w=3840&q=75)
Transcribed Image Text:### Integral Evaluation Problem
In this exercise, you are required to evaluate the given integral and select the correct answer from the provided options.
#### Integral to Evaluate:
\[ \int \frac{1 + 3e^x}{1 - e^x} \, dx \]
#### Multiple Choice Answers:
Select the correct answer from the following choices:
1. \( x + 6 \ln \left( e^x - 1 \right) + C \)
2. \( 4x - 3 \ln \left( e^x - 1 \right) + C \)
3. \( 6x + 4 \ln \left| e^x - 1 \right| + C \)
4. \( x - 4 \ln \left| e^x - 1 \right| + C \)
Use your knowledge of integration techniques to solve the integral and determine the correct answer.
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