(a)
To find : The value of integral.
(a)
Answer to Problem 1E
The answer is:
Explanation of Solution
Given information:
The
Calculation:
Determine the height because the Trapezoidal Rule will be used.
Plug the values into the equation
Therefore, the required value of integral is
(b)
To find: The function is an overestimate or underestimate.
(b)
Answer to Problem 1E
The answer is: The value must be exact.
Explanation of Solution
Given information:
The integration is
Calculation:
Find the function's second derivative. The concavity is provided by the second derivative.
It is an exaggeration if the second derivative is more than 0; it is an underestimate if it is less than 0. Its response, however, is 0. As a result, the value must be precise because the graph is neither concave up nor concave down.
Therefore, the required value must be exact.
(c)
To find: The integral exact value.
(c)
Answer to Problem 1E
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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