Question: Let 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

LetL:(x? – 3x³ – x² ² + |1 = ) dx 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?

T(п) | M(n) | Abs error in T(n) Abs error in M(n) п 4 16 32 64

L:(x? 3x x + |1 = ) dx T() | M(n) | Abs error in T(n) Abs error in M(n) 4 16 32 64

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