Problem 7.1: Compute -3.4 exdx using the combination of the two Simpson's rules? Use the formula I* = 1₂-1₁ Hint: f(x) dx = f(x) + 4f (x₁) + f(x₂)] - f (₁) h5 90 X₁ 1.8 f(x) 6.05 [ f(x) dx = 3h [f(x) + f(x₁) + 3f (x₂) + f(x3)] - 8 For Simpson's first rule 2.6 3.4 13.46 29.96 3h5 80 f¹ (42) For Simpson's second rule X₁ 1.8 f(x) 6.05 2.333 2.866 3.4 10.31 17.528 29.96

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 7.1: Compute
3.4
the formula I* =
1.8
X₁
f(x) 6.05
exdx using the combination of the two Simpson's rules? Use
1₂ - 1₁
h5
f(x) + 4ƒ (x₁) + f(x₂)] - ƒ^ (41)
90
Hint: f(x) dx =
[ f(x) dx = 3h [f(x) + 3f (x₁) + 3ƒ (x₂) + f(x3)] −
-
8
For Simpson's first rule
2.6
3.4
13.46 29.96
3h5
80 f¹ (42)
For Simpson's second rule
X₁
1.8
f(x) 6.05
2.333 2.866 3.4
10.31 17.528 29.96
Transcribed Image Text:Problem 7.1: Compute 3.4 the formula I* = 1.8 X₁ f(x) 6.05 exdx using the combination of the two Simpson's rules? Use 1₂ - 1₁ h5 f(x) + 4ƒ (x₁) + f(x₂)] - ƒ^ (41) 90 Hint: f(x) dx = [ f(x) dx = 3h [f(x) + 3f (x₁) + 3ƒ (x₂) + f(x3)] − - 8 For Simpson's first rule 2.6 3.4 13.46 29.96 3h5 80 f¹ (42) For Simpson's second rule X₁ 1.8 f(x) 6.05 2.333 2.866 3.4 10.31 17.528 29.96
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