3. Using the function below, estimate the integral from x, = 0.5 to x₁ = 3-5 using multiple application trapezoidal rule, Simpson's 1/3 rule, Simpson's 3/8 rule and Boole's rule for n = 8 segments. Fill in the table X 0.5 1 0.75 2 1 3 1.25 4 1.5 5 1.75 6 2 7 8 2.25 2.5 f(x) Trapezoidal Rule Simpsons 1/3 Rule 0.38775 1 0.78525 2 0.769 2 0.74908 0.81275 0.86503 0.769 0.48637 0.21775 f(x)= 1 = NNNNNN 2 2 2 2 2 1 1 4 2 4 2 4 2 |-+| 4 1 Simpson's 3/8 Rule 1 3 T-helsheh liha 3 Boole's Rule 7 32 12 32 7 32 12 32 7

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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3. Using the function below, estimate the integral from xo = 0.5 to x₁ = 3.5 using multiple application
trapezoidal rule, Simpson's 1/3 rule, Simpson's 3/8 rule and Boole's rule for n = 8 segments. Fill in
the table
O-N345678
0
1
2
f(x) Trapezoidal Rule Simpsons 1/3 Rule
0.38775
0.75 0.78525
1
0.769
1.25 0.74908
X
ola
25
0.5
1.5
1.75
2
25
2.25
2.5
0.81275
0.86503
0.769
0.48637
0.21775
f(x₁) =
1 =
-NNNNNNN-
2
2
2
2
1
4
2
4
2
4
2
4
1
Simpson's 3/8
Rule
1
3
3
2
3
3
2
3
1
Boole's Rule
7
32
12
32
7
32
12
32
7
Transcribed Image Text:3. Using the function below, estimate the integral from xo = 0.5 to x₁ = 3.5 using multiple application trapezoidal rule, Simpson's 1/3 rule, Simpson's 3/8 rule and Boole's rule for n = 8 segments. Fill in the table O-N345678 0 1 2 f(x) Trapezoidal Rule Simpsons 1/3 Rule 0.38775 0.75 0.78525 1 0.769 1.25 0.74908 X ola 25 0.5 1.5 1.75 2 25 2.25 2.5 0.81275 0.86503 0.769 0.48637 0.21775 f(x₁) = 1 = -NNNNNNN- 2 2 2 2 1 4 2 4 2 4 2 4 1 Simpson's 3/8 Rule 1 3 3 2 3 3 2 3 1 Boole's Rule 7 32 12 32 7 32 12 32 7
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,