Explain why each of the following integrals is improper. 10 (a) dx 9)4 (х — O Since the integral has an infinite interval of integration, the integral is improper. O The integral is not improper. O Since y= (x has a vertical asymptote at x=10, the integral is improper. 9)4 O Since y=- has a vertical asymptote at x=9, the integral is improper. (x – 9)4 "8 1 dx 4+x (Б) The integral is not improper. 1 O Since y=. has a vertical asymptote at x=-4, the integral is improper. (4 + x) O Since the integral has an infinite interval of integration, the integral is improper. 1 has a vertical asymptote at x=0, the integral is improper. O Since y= (4 + x)
Explain why each of the following integrals is improper. 10 (a) dx 9)4 (х — O Since the integral has an infinite interval of integration, the integral is improper. O The integral is not improper. O Since y= (x has a vertical asymptote at x=10, the integral is improper. 9)4 O Since y=- has a vertical asymptote at x=9, the integral is improper. (x – 9)4 "8 1 dx 4+x (Б) The integral is not improper. 1 O Since y=. has a vertical asymptote at x=-4, the integral is improper. (4 + x) O Since the integral has an infinite interval of integration, the integral is improper. 1 has a vertical asymptote at x=0, the integral is improper. O Since y= (4 + x)
Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Question
![Explain why each of the following integrals is improper.
10
(a)
dx
(x – 9)4
Since the integral has an infinite interval of integration, the integral is improper.
The integral is not improper.
Since y=
has a vertical asymptote at x=10, the integral is improper.
(x – 9)4
Since y=-
has a vertical asymptote at x=9, the integral is improper.
(x – 9)4
1
dx
4+x
(b)
The integral is not improper.
1
Since y=-
has a vertical asymptote at x=-4, the integral is improper.
(4 + x)
Since the integral has an infinite interval of integration, the integral is improper.
1
Since y=-
has a vertical asymptote at x=0, the integral is improper.
(4 + x)
O O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2d2659c-073c-4d9b-b022-db6863ac78eb%2Fcfd71ef4-71a7-439a-ba8f-5fbd0b3df230%2Flbau1pf_processed.png&w=3840&q=75)
Transcribed Image Text:Explain why each of the following integrals is improper.
10
(a)
dx
(x – 9)4
Since the integral has an infinite interval of integration, the integral is improper.
The integral is not improper.
Since y=
has a vertical asymptote at x=10, the integral is improper.
(x – 9)4
Since y=-
has a vertical asymptote at x=9, the integral is improper.
(x – 9)4
1
dx
4+x
(b)
The integral is not improper.
1
Since y=-
has a vertical asymptote at x=-4, the integral is improper.
(4 + x)
Since the integral has an infinite interval of integration, the integral is improper.
1
Since y=-
has a vertical asymptote at x=0, the integral is improper.
(4 + x)
O O
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