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
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Author:James Stewart
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Chapter1: Functions And Models
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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
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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