Concept explainers
Trapezoidal approximation of the integral.
Answer to Problem 1QQ
Trapezoidal approximation:
Explanation of Solution
Given information:
Function f is continuous on the closed interval [1, 7].
Function values:
The widths of subinterval:
[1, 4], [4, 6], and [6, 7].
Since the widths of the subintervals are not same, the Trap Rule formula cannot be used directly.
Instead, find the area of each trapezoid and then sum them up.
For [1, 4]:
Width,
Heights,
And
Then
The area for this trapezoid,
For [4, 6]:
Width,
Heights,
And
Then
The area for this trapezoid,
For [6, 7]:
Width,
Heights,
And
Then
The area for this trapezoid,
Thus,
The approximation of integral:
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
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