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Consider the error formulas. ∣E∣≤12n2(b−a)3[max∣f′′(x)∣],a≤x≤b Trapezoidal Rule ∣E∣≤180n4(b−a)5[max∣∣f(4)(x)∣∣],a≤x≤
Posted: Thu Jul 14, 2022 4:46 pm
by answerhappygod
- Consider The Error Formulas E 12n2 B A 3 Max F X A X B Trapezoidal Rule E 180n4 B A 5 Max F 4 X A X 1 (13.63 KiB) Viewed 41 times
Consider the error formulas. ∣E∣≤12n2(b−a)3[max∣f′′(x)∣],a≤x≤b Trapezoidal Rule ∣E∣≤180n4(b−a)5[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. ∫02(x2+4x)dx (a) Trapezoidal Rule (b) Simpson's Rule