Explain why the following integral is improper and then evaluate the integral. x2 2 dx Хе 8.

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...
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Explain why the following integral is improper and then evaluate the integral.
j..
x2
хе
dx
- 0
Why is this integral improper?
A. One or both limits of integration are infinite.
B. The integrand is undefined at some point inside the interval of integration.
C. The integrand is discontinuous at some point in the interval of integration.
O D. The integrand becomes infinite at some point in the interval of integration.
x2
00
Хе
dx =
(Type an exact answer.)
- 00
Transcribed Image Text:Explain why the following integral is improper and then evaluate the integral. j.. x2 хе dx - 0 Why is this integral improper? A. One or both limits of integration are infinite. B. The integrand is undefined at some point inside the interval of integration. C. The integrand is discontinuous at some point in the interval of integration. O D. The integrand becomes infinite at some point in the interval of integration. x2 00 Хе dx = (Type an exact answer.) - 00
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Here we use Fundamental theorem of calculus to solve the given integral.

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