(a)
To find : The value of integral.
(a)
Answer to Problem 4E
The answer is:
Explanation of Solution
Given information:
The
Calculation:
Let,
Hence,
Fill out the table with
1 | 2 | ||||
1 |
To calculate
Therefore, the required value of integral is
(b)
To find: The function is an overestimate or underestimate.
(b)
Answer to Problem 4E
The answer is: Overestimate
Explanation of Solution
Given information:
The integration is
Calculation:
The final objective is to determine the function's second derivative. The concavity comes from the second derivative. Utilize the power rule to calculate the first and second derivative.
It is an overestimate if the second derivative is more than 0; it is an underestimate if it is less than 0.
Therefore, the required approximation is overestimate.
(c)
To find: The integral exact value.
(c)
Answer to Problem 4E
The answer is:
Explanation of Solution
Given information:
The integration is
Calculation:
By taking the function's anti-derivative, the issue is set up. Use this notation when rewriting.
Using the Fundamental Theorem of Calculus
Therefore, the required integral exact value is
Chapter 5 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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