Use Simpson's Rule and all the data in the following table to estimate the value of the integral X y 6 -9 7 8 9 10 11 -9 3 5 -4 6 12 12 fydx. 2

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Simpson's Rule and Integral Estimation**

Use Simpson's Rule and all the data in the following table to estimate the value of the integral:

\[
\int_{6}^{12} y \, dx
\]

|   x   |  6  |  7  |  8  |  9  | 10 | 11 | 12 |
|-------|-----|-----|-----|-----|----|----|----|
|   y   | -9  | -9  |  3  |  5  | -4 |  6 |  2 |

Round your answer to 4 decimal places.
Transcribed Image Text:**Simpson's Rule and Integral Estimation** Use Simpson's Rule and all the data in the following table to estimate the value of the integral: \[ \int_{6}^{12} y \, dx \] | x | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |-------|-----|-----|-----|-----|----|----|----| | y | -9 | -9 | 3 | 5 | -4 | 6 | 2 | Round your answer to 4 decimal places.
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