Question: f(x) = - 1 / 2 x3 + 2 x , with 0 x 2. a) Approximate the area under the curve using the Midpoint

f(x) = - 1/2 x3 + 2x, with 0 x 2.

a) Approximate the area under the curve using the Midpoint Rule with n=4.

b) Find the exact value( no calculator) for the area.

c) Round your answer to part b) to six decimal places

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