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Math 2414 A Normal Approximation - Page 2 of 3 January 31, 2022 2. Unfortunately, the function 4(x) = -e " does not have a closed-form antiderivative and V27 thus numerical methods must be used to approximate the likelihood. (a) Use the midpoint rule to approximate P(-1 5 x 5 1) = _VZx guaranteeing your answer is accurate up to four decimal places. You will obviously use a calculator or a spreadsheet to approximate the integral, but show all work below for deriving the necessary parameters for the algorithm. (b) Use the trapezoid rule to approximate P ( - 15 X 5 1 ) guaranteeing your answer is accurate up to four decimal places. You will obviously use a calculator or a spreadsheet to approximate the integral, but show all work below for deriving the necessary parameters for the algorithm