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In this question, you are asked to investigate the following improper integral: (х-3) -15 10.1 Firstly, one must split the integral as the sum of two integrals, i.e. 33 (x-3 ) -1/5dx + lim t-c* (х-3) -15dx I= lim for what value of c? 10.2 Below, we will call the two integrals we split I into, Iş 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) ={ Your last answer was: 5/4 ( x-3 ) 4/5 10.3 Now evaluate F(x) at each of the limits for I and hence give the value of Iş. Note. By I, we mean the integral with an s limit, before the limit s →c¯ is taken. Iz =|

In this question, you are asked to investigate the following improper integral: (х-3) -15 10.1 Firstly, one must split the integral as the sum of two integrals, i.e. 33 (x-3 ) -1/5dx + lim t-c* (х-3) -15dx I= lim for what value of c? 10.2 Below, we will call the two integrals we split I into, Iş 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) ={ Your last answer was: 5/4 ( x-3 ) 4/5 10.3 Now evaluate F(x) at each of the limits for I and hence give the value of Iş. Note. By I, we mean the integral with an s limit, before the limit s →c¯ is taken. Iz =|

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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10.4 Now take the limit as s →c¯, where c is your answer to the first part. If Iş diverges as s → c, enter u (for undefined), or if Is converges, enter the value to which Iş converges. lim, →- Is = 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 It diverges as t → c", enter u (for undefined), or if I converges, enter the value to which I converges. lim → c* I = [ 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:10.4 Now take the limit as s →c¯, where c is your answer to the first part. If Iş diverges as s → c, enter u (for undefined), or if Is converges, enter the value to which Iş converges. lim, →- Is = 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 It diverges as t → c", enter u (for undefined), or if I converges, enter the value to which I converges. lim → c* I = [ 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=[
In this question, you are asked to investigate the following improper integral: 33 I = (х-3) -1/5 dx 10.1 Firstly, one must split the integral as the sum of two integrals, i.e. 33 I= lim (x-3 )-1/5dx + lim (х-3) -15dx t-c* t 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 Ig. F(x) = Your last answer was: 5/4 (x-3 ) 4/5 10.3 Now evaluate F(x) at each of the limits for I, and hence give the value of Iş. Note. By Ig, we mean the integral with an s limit, before the limit s → c is taken. Is
Transcribed Image Text:In this question, you are asked to investigate the following improper integral: 33 I = (х-3) -1/5 dx 10.1 Firstly, one must split the integral as the sum of two integrals, i.e. 33 I= lim (x-3 )-1/5dx + lim (х-3) -15dx t-c* t 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 Ig. F(x) = Your last answer was: 5/4 (x-3 ) 4/5 10.3 Now evaluate F(x) at each of the limits for I, and hence give the value of Iş. Note. By Ig, we mean the integral with an s limit, before the limit s → c is taken. Is
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