i.
To calculate: To solve the volume of the solid as an improper
i.
Answer to Problem 57EP
The volume of the solid as an improper integral is
Explanation of Solution
Given information: The given curve as follows:
The infinite region
Calculation:
Since, the volume can be calculated by using shell method:
The volume of
The volume of the solid as an improper integral form can be represented as follows:
ii.
To calculate: To solve the integral as a limit of a definite integral.
ii.
Answer to Problem 57EP
The integral as a limit of a definite integral is
Explanation of Solution
Given information: The given curve as follows:
The infinite region
Calculation:
Since, the integral can be calculated as:
The integral as a limit of a definite integral.
iii.
To calculate: To solve the volume of the solid.
iii.
Answer to Problem 57EP
The Volume of the solid is
Explanation of Solution
Given information: The given curve as follows:
the infinite region
Calculation:
Since, the volume can be calculated by using shell method:
The volume of
Here, it can be solved as:
Chapter 8 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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