The following table shows the values of a function f at a certain number of points. X 1 3/2 2 5/2 3 7/2 4 f (x) 5 11 -1 4 2 We ask you to estimate f f (x) dx using three different methods, each time making use of the maximum number of values from the table. Give the exact values of the approximati by each of the methods. (a) Midpoint Rule: 19 (b) Trapezoidal Rule: 7.5 4 8 (c) Simpson's Rule: 4.333

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The following table shows the values of a function f at a certain number of points.
x
1 3/2 2 5/2 3 7/2 4
f (x) 5 11
-1 4 2
We ask you to estimate
[₁ f (x) dx
using three different methods, each time making use of the maximum number of values from the table. Give the exact values of the approximations produced
by each of the methods.
(a) Midpoint Rule : 19
(b) Trapezoidal Rule: 7.5
4 8
(c) Simpson's Rule : 4.333
AGI
Transcribed Image Text:The following table shows the values of a function f at a certain number of points. x 1 3/2 2 5/2 3 7/2 4 f (x) 5 11 -1 4 2 We ask you to estimate [₁ f (x) dx using three different methods, each time making use of the maximum number of values from the table. Give the exact values of the approximations produced by each of the methods. (a) Midpoint Rule : 19 (b) Trapezoidal Rule: 7.5 4 8 (c) Simpson's Rule : 4.333 AGI
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