Errors in numerical integration Let and note that I = 0.a.
Chapter 1, Problem 26RE(choose chapter or problem)
Errors in numerical integration Let \(I=\int_{-1}^{2}\left(x^{7}-3 x^{5}-x^{2}+\frac{7}{8}\right) \ d x\) and note that I = 0.
a. Complete the following table with Trapezoid Rule T(n) and Midpoint Rule M(n) approximations to I for various values of n.
b. Fill in the error columns with the absolute errors in the approximations in part (a).
c. How do the errors in T(n) decrease as n doubles in size?
d. How do the errors in M(n) decrease as n doubles in size?
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