To evaluate: The improper integral or state that it diverges.
Answer to Problem 18E
The improper integral is 2 and the given improper integral converges.
Explanation of Solution
Given information:
Concept used: Consider that
Calculation:
Let
Consider that
So, by the integration by parts formula, the integral
Again apply the formula of integration by parts, where
So,
Now, determine the value of
Since the given improper integral has some value, it converges.
Chapter 8 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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