Approximating a Function The table lists several measurements gathered in an experiment
Chapter 5, Problem 44(choose chapter or problem)
The table lists several measurements gathered in an experiment to approximate an unknown continuous function y=f(x).
(a) Approximate the integral
\(\int_{0}^{2} f(x) d x\)
using the Trapezoidal Rule and Simpson's Rule.
(b) Use a graphing utility to find a model of the form \(y=a x^{3}+b x^{2}+c x+d\) for the data. Integrate the resulting polynomial over [0,2] and compare the result with the integral from part (a).
Text Transcription:
int_0^2 f(x) d x
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