3. Consider the definite integral 8 V16 + 6x – x²dx. a) Estimate I by partitioning the interval [3,8] into 10 sub-intervals of equal length and using the Midpoint Rule. Round this estimate M10 to three decimal places. Use the table below to show your numerical work. f(x,) = / 16 + 6x, – (X,)² 2 4 6 7 8 10 10 M10 = Ax > f(x,) = i=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I have been stuck on this homework question, help please!!

3.
Consider the definite integral
8
V16 + 6x – x²dx.
a)
Estimate I by partitioning the interval [3,8] into 10 sub-intervals of equal
length and using the Midpoint Rule. Round this estimate M10 to three
decimal places. Use the table below to show your numerical work.
f(x,) = /
16 + 6x, – (X,)²
2
4
6
7
8
10
10
M10 = Ax > f(x,) =
i=1
Transcribed Image Text:3. Consider the definite integral 8 V16 + 6x – x²dx. a) Estimate I by partitioning the interval [3,8] into 10 sub-intervals of equal length and using the Midpoint Rule. Round this estimate M10 to three decimal places. Use the table below to show your numerical work. f(x,) = / 16 + 6x, – (X,)² 2 4 6 7 8 10 10 M10 = Ax > f(x,) = i=1
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