(a)
To state: Why the given integral is improper.
(a)
Answer to Problem 25E
It has an infinite discontinuity at the point
Explanation of Solution
Given information:
It is known that the integral is said to be an improper integral if the integral function becomes at any point which lies in the interval of
Since the given integral has an infinite discontinuity at the point
(b)
To evaluate: The given improper integral or state that it diverges.
(b)
Answer to Problem 25E
The improper integral is
Explanation of Solution
Given information:
Concept Used: Consider that function
Calculation:
The given integral has an infinite discontinuity at the point
So,
Now, determine each of the obtained improper integral which is obtained on the right side of the obtained equation.
Use the partial fraction to integrate the obtained integral which is shown below.
Compare the coefficient of
So,
So,
Since the obtained result is
Chapter 8 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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