Explain why the integral is improper. 18 .6 1.4 1.2 y F0.8 F0.6 F0.4 F0.2 -2 -1.5 -1 -0.5 At least one of the limits of integration is not finite. The integrand is not continuous on (-∞, 0]. Determine whether it diverges or converges. converges diverges Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Explain why the integral is improper.
dx
-1.8
.6
1.4
1.2
-1
y
F0.8
0.6
0.4
F0.2
-2
-1.5
-1
-0.5
At least one of the limits of integration is not finite.
The integrand is not continuous on (-∞, 0].
Determine whether it diverges or converges.
converges
diverges
Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.)
Transcribed Image Text:Explain why the integral is improper. dx -1.8 .6 1.4 1.2 -1 y F0.8 0.6 0.4 F0.2 -2 -1.5 -1 -0.5 At least one of the limits of integration is not finite. The integrand is not continuous on (-∞, 0]. Determine whether it diverges or converges. converges diverges Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.)
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