Errors in numerical integration Let I = 1 2 -11x7 - 3x5 -

Chapter 7, Problem 32

(choose chapter or problem)

Errors in numerical integration Let I = 1 2 -11x7 - 3x5 - x2 + 782 dx and note that I = 0. a. Complete the following table with Trapezoid Rule 1T1n22 and Midpoint Rule 1M1n22 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 T1n2 decrease as n doubles in size? d. How do the errors in M1n2 decrease as n doubles in size?

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