In this question, you are asked to investigate the following improper integral: XPs- 10.1 Firstly, one must split the integral as the sum of two integrals, i.e. I= lim (x-4)-dx+ lim (x-4)dx for what value of c? c= 10.2 Below, we will call the two integrals we split I into, I, and I. Now find an antiderivative of the integrand of I, (and I and I), i.e. a function F(x), which when evaluated at the limits of I, will give the value of I- F(x) =| 10.3 Now evaluate F(x) at each of the limits for I, and hence give the value of I. Note. By I, we mean the integral with an s limit, before the limit sc is taken. I =

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...
icon
Related questions
icon
Concept explainers
Question

need an answer for this

In this question, you are asked to investigate the following improper integral:
(x-4 ) -dx
10.1
Firstly, one must split the integral as the sum of two integrals, i.e.
I= lim
(x-4 )-dx + lim
(x-4)-dx
for what value of c?
10.2
Below, we will call the two integrals we split I into, I, and I
Now find an antiderivative of the integrand of I, (and I and I), i.e. a function F(x), which when evaluated at the limits of I, will give the value of Iş.
F(x) =[
10.3
Now evaluate F(x) at each of the limits for I, and hence give the value of I,.
Note. By I, we mean the integral with an s limit, before the limit s c is taken.
10.4
Now take the limit as s - c , where c is your answer to the first part.
If I, diverges as s-c, enter u (for undefined), or if I, converges, enter the value to which I, converges.
lim, c- I=|
Transcribed Image Text:In this question, you are asked to investigate the following improper integral: (x-4 ) -dx 10.1 Firstly, one must split the integral as the sum of two integrals, i.e. I= lim (x-4 )-dx + lim (x-4)-dx for what value of c? 10.2 Below, we will call the two integrals we split I into, I, and I Now find an antiderivative of the integrand of I, (and I and I), i.e. a function F(x), which when evaluated at the limits of I, will give the value of Iş. F(x) =[ 10.3 Now evaluate F(x) at each of the limits for I, and hence give the value of I,. Note. By I, we mean the integral with an s limit, before the limit s c is taken. 10.4 Now take the limit as s - c , where c is your answer to the first part. If I, diverges as s-c, enter u (for undefined), or if I, converges, enter the value to which I, converges. lim, c- I=|
10.5
Now evaluate F(x) at each of the limits for I, and hence give the value of I.
Note. By I, we mean the integral with an t limit, before the limit t→ c* is taken.
10.6
Now take the limit as t → c, where c is your answer to the first part.
If I, diverges as t→c", enter u (for undefined), or if I, converges, enter the value to which I, converges.
lim, e* It =
10.7
Finally, evaluate I.
If I is divergent enter u (for undefined), or if I is convergent enter the value to which I converges.
I=
Transcribed Image Text:10.5 Now evaluate F(x) at each of the limits for I, and hence give the value of I. Note. By I, we mean the integral with an t limit, before the limit t→ c* is taken. 10.6 Now take the limit as t → c, where c is your answer to the first part. If I, diverges as t→c", enter u (for undefined), or if I, converges, enter the value to which I, converges. lim, e* It = 10.7 Finally, evaluate I. If I is divergent enter u (for undefined), or if I is convergent enter the value to which I converges. I=
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning