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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 =

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 =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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=
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