Mathematics, 22.08.2020 19:01 queendeon123
Consider the error formulas.
|E| ≤ (b − a)3
12n2 [max |f ''(x)|], a ≤ x ≤ b
Trapezoidal Rule
|E| ≤ (b − a)5
180n4
[max |f (4)(x)|], a ≤ x ≤ b
Simpson's Rule
Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule.
10 1 / (x - 1)2 dx
2
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Consider the error formulas.
|E| ≤ (b − a)3
12n2 [max |f ''(x)|], a ≤ x ≤ b
Trapezoid...
12n2 [max |f ''(x)|], a ≤ x ≤ b
Trapezoid...
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