Consider the error formulas. IEl s 6 - a), -[max If"(x)|], asxsb Trapezoidal Rule 12n2 (b – a)5 180n4 JE| S [max |f(4)(x)|], asxsb Simpson's Rule Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule. %3D '3 'a? + 74) dx (a) Trapezoidal Rule (b) Simpson's Rule

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the error formulas.
(b - a)
-[max If"(x)|], asxsb
12n?
I티 s
Trapezoidal Rule
I티 S
(b – a)5,
[max |f(4)(x)|], asxsb
Simpson's Rule
180n4
Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule.
+
(a) Trapezoidal Rule
(b) Simpson's Rule
Transcribed Image Text:Consider the error formulas. (b - a) -[max If"(x)|], asxsb 12n? I티 s Trapezoidal Rule I티 S (b – a)5, [max |f(4)(x)|], asxsb Simpson's Rule 180n4 Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule. + (a) Trapezoidal Rule (b) Simpson's Rule
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