In this question, you are asked to investigate the following improper integral: (х-3) -13 dx 10.1 Firstly, one must split the integral as the sum of two integrals, i.e. 9 (x-3 )-1/3dx + lim (х-3) -13dx I= lim 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 Ig, will give the value of Ig. F(x) = 10.3 Now evaluate F(x) at each of the limits for I, and hence give the value of Ig. Note. By I, we mean the integral with an s limit, before the limit s c is taken. I, = 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.
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Need answer for the number 10 question in the picture
![In this question, you are asked to investigate the following improper integral:
9
I=
(х-3) -13dx
10.1
Firstly, one must split the integral as the sum of two integrals, i.e.
I= lim
(х-3) -13dx-
lim
(х-3) -13dx
t-c*
t
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 Ig.
F(x) =
10.3
Now evaluate F(x) at each of the limits for I, and hence give the value of Ig.
Note. By Ig, we mean the integral with an s limit, before the limit s → c is taken.
I =
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 Is converges, enter the value to which Iş converges.
lim, →e- Is =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec427de8-d652-4d17-8892-da2f2c3f0b29%2F67ec668d-1849-4291-88d4-befd97dd9e71%2Fasnz5d_processed.jpeg&w=3840&q=75)
![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.
I =
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* I4 =
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=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec427de8-d652-4d17-8892-da2f2c3f0b29%2F67ec668d-1849-4291-88d4-befd97dd9e71%2Fj3j8iwh_processed.jpeg&w=3840&q=75)
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