Show how the Newton-Cotes formula f f(x) dx = f(0) + f(1/2) + f(1) can be used for f(x) dx. Apply this result to evaluate π/2 ¹/2 x 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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Show how the Newton-Cotes formula
f ₁² f (x) dx = ²√ ƒ (0) + } ƒ(½) + } ƒ(1)
b
be used for ſå ƒ(x) dx . Apply this result to evaluate
can
a
T
So
2
x dx
Transcribed Image Text:Show how the Newton-Cotes formula f ₁² f (x) dx = ²√ ƒ (0) + } ƒ(½) + } ƒ(1) b be used for ſå ƒ(x) dx . Apply this result to evaluate can a T So 2 x dx
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