Your input: calculate dx First, calculate the corresponding indefinite integral: dx steps, see indefinite integral calculator) 1 (for 2x2 The interval of integration contains the point 0, which is not in the domain of the integrand, so this is an improper integral of type 2.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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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explain why the final answer is negative infinity

Your input: calculate
dx
1
(for
2x2
First, calculate the corresponding indefinite integral:
-dx
steps, see indefinite integral calculator)
The interval of integration contains the point 0, which is not in the domain of
the integrand, so this is an improper integral of type 2.
To evaluate an integral on an interval, we use the Fundamental Theorem of
Calculus. However, we need to use the limit, if an endpoint of the interval is
special (is not in the domain of the function).
'(푸)-(푸)때-미()7
1
dx = lim
1
1
2x2
2x2
Since the value of the integral is not finite, then it is divergent.
Answer: the integral is divergent.
Transcribed Image Text:Your input: calculate dx 1 (for 2x2 First, calculate the corresponding indefinite integral: -dx steps, see indefinite integral calculator) The interval of integration contains the point 0, which is not in the domain of the integrand, so this is an improper integral of type 2. To evaluate an integral on an interval, we use the Fundamental Theorem of Calculus. However, we need to use the limit, if an endpoint of the interval is special (is not in the domain of the function). '(푸)-(푸)때-미()7 1 dx = lim 1 1 2x2 2x2 Since the value of the integral is not finite, then it is divergent. Answer: the integral is divergent.
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