(a)
To state: To state the reason for the given integral to be improper.
(a)
Answer to Problem 29E
The given integral is an improper integral because it has an infinite discontinuity at the point
Explanation of Solution
Given information: The integral
Any definite integral is said to be an improper integral if the integrand approaches infinity (infinite discontinuity) at one or more points that lies in the interval of
Since the integrand in the integral
(b)
To evaluate: The given improper integral or state that it diverges.
(b)
Answer to Problem 29E
The given improper integral is
Explanation of Solution
Given information: The integral
Concept Used: If
Calculation:
Simplify the integral
Therefore,
Consider
As a result,
Chapter 8 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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