(a)
To find: The area of the region enclosed by the
(a)
Answer to Problem 33E
The area is:
Explanation of Solution
Given information:
The curve is
Calculation:
Must determine the region's area, not its net area (which is the value an integral gives),so
All of the space between 0 and
Use integration by parts
And,
Then
Therefore the required area of the given information is
(b)
To find: The area of the region enclosed by the
(b)
Answer to Problem 33E
The area is:
Explanation of Solution
Given information:
The curve is
Calculation:
Must integrate the absolute value of
Let
Let,
Therefore the required area of the given information is
(c)
To find: The area of the region enclosed by the
(c)
Answer to Problem 33E
The area is:
Explanation of Solution
Given information:
The curve is
Calculation:
From part a), the area of the region from 0 to
From part a), the area of the region from 0 to
The area of the region from 0 to
Therefore the required area of the given information is
Chapter 6 Solutions
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