Using h= 1, compare the results from Trapezoidal, Midpoint and Simpson's for the following integral x³ d. Additionally a. Find the error under each method. b. Would you expect to find similar errors approximating integrals of cubic polynomials under Trape- zoidal Rule? Why or why not? c. Would you expect to find similar errors approximating integrals of cubic polynomials under Simp- son's? Why or why not?

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Using h= 1, compare the results from Trapezoidal, Midpoint and Simpson's for the following integral
[²2²
T³ dx.
Additionally
a. Find the error under each method.
b. Would you expect to find similar errors approximating integrals of cubic polynomials under Trape-
zoidal Rule? Why or why not?
c. Would you expect to find similar errors approximating integrals of cubic polynomials under Simp-
son's? Why or why not?
Transcribed Image Text:Using h= 1, compare the results from Trapezoidal, Midpoint and Simpson's for the following integral [²2² T³ dx. Additionally a. Find the error under each method. b. Would you expect to find similar errors approximating integrals of cubic polynomials under Trape- zoidal Rule? Why or why not? c. Would you expect to find similar errors approximating integrals of cubic polynomials under Simp- son's? Why or why not?
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