True or False:
Whether the statement “
Answer to Problem 1PT
The given statement is
Explanation of Solution
Given:
The integral is
Definition used:
The integral
(1)
(2)
Calculation:
Consider the integral
From the definition above, it can be clearly seen that the integral limits are finite and thus from definition (1) the given integral is not an improper integral.
A vertical asymptote exists if at least one of the following statements is satisfied, that is,
Here, the function
For the given function both the left hand limit and the right and limit exists and thus, there is no vertical asymptote at either a, b or at some point c between a and b.
Thus, the integral
Therefore, the given statement is
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Chapter 7 Solutions
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
- 5. Prove that the equation has no solution in an ordered integral domain.arrow_forwardUse substitution to find each indefinite integral. 6x2(2x3+7)32dxarrow_forwardCONCEPT CHECK Determine whether each of the following statements is true or false, and explain why. Substitution can often be used to turn a complicated integral into a simpler one.arrow_forward
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