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Given. sin (x) da, n = 6 Do the following. (Round your answers to six decimal places.) (a) Use the Midpoint Rule to approximate the

Given. sin (x) da, n = 6 Do the following. (Round your answers to six decimal places.) (a) Use the Midpoint Rule to approximate the given integral with the specified value of n. ME = (b) Use the Simpson's Rule to approximate the given integral with the specified value of n. S6 = (c) Compare your results to the actual value to determine the error in each approximation. Actual Errors EM = actual - M6 = Es = actual - S6 =

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