Left and Right Rectangle Riemann Sums Approximate each of the given definite integrals using the specified method. You may leave your answers in expanded form (as a sum of products). Note that n represents the number of sub-intervals for each sum. Definite Integral f(x)dx [F(x)dx -32 -1 f(t)\ dt 0 for f(x) dx Method n = 3 Left Riemann Sum 1 2 3 4 n = 4 Right Riemann Sum Definite Integral Method 0 12 4 20 Given: The table below gives velocity values measured in ft/sec every 4 seconds. Time (seconds) 12 16 Velocity (ft/sec) -12 10 n4 Left Riemann sum n=3 Right Riemann sum 8 5 -8 6 7 8 9 Approximation Approximation 10 11 antal (2) dx
Left and Right Rectangle Riemann Sums Approximate each of the given definite integrals using the specified method. You may leave your answers in expanded form (as a sum of products). Note that n represents the number of sub-intervals for each sum. Definite Integral f(x)dx [F(x)dx -32 -1 f(t)\ dt 0 for f(x) dx Method n = 3 Left Riemann Sum 1 2 3 4 n = 4 Right Riemann Sum Definite Integral Method 0 12 4 20 Given: The table below gives velocity values measured in ft/sec every 4 seconds. Time (seconds) 12 16 Velocity (ft/sec) -12 10 n4 Left Riemann sum n=3 Right Riemann sum 8 5 -8 6 7 8 9 Approximation Approximation 10 11 antal (2) dx
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Left and Right Rectangle Riemann Sums
Approximate each of the given definite integrals using the specified method. You may leave
your answers in expanded form (as a sum of products). Note that n represents the number of
sub-intervals for each sum.
Definite Integral
f(x) dx
[F(x)dx
-32 -1
f(t)\ dt
0
for f(x) dx
Method
n = 3 Left Riemann Sum
1 2 3 4
n = 4 Right Riemann Sum
Definite Integral Method
0
12
4
20
Given: The table below gives velocity values measured in ft/sec every 4 seconds.
Time (seconds)
12
16
Velocity (ft/sec)
-12
10
n4 Left Riemann
sum
n=3
Right Riemann sum
8
5
-8
6
7
8 9
Approximation
Approximation
10 11
dx
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