Given the following integral and value of n, approximate the following integral using the methods indicated...

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Given the following integral and value of n, approximate the following integral using the methods indicated (round your answers to six decimal places): -_-62 dx, n = 4 (a) Trapezoidal Rule (b) Midpoint Rule (c) Simpson's Rule e A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see table). Use Simpson's rule to estimate the distance the runner covered during those 5 seconds. Estimated distance: t (s) 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 0 2.15 6.05 7.8 8.8 8.95 9.6 10.15 10.65 10.8 10.8 v (ft/s) Given the following integral and value of n, approximate the following integral using the methods indicated (round your answers to six decimal places): -_-62 dx, n = 4 (a) Trapezoidal Rule (b) Midpoint Rule (c) Simpson's Rule e A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see table). Use Simpson's rule to estimate the distance the runner covered during those 5 seconds. Estimated distance: t (s) 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 0 2.15 6.05 7.8 8.8 8.95 9.6 10.15 10.65 10.8 10.8 v (ft/s)