Compute the midpoint Riemann sum with for on

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Compute the midpoint Riemann sum with

n=4

for

f(x)=x^{2}

[0,4]

, giving an exact value. Then determine the absolute error of this approximation given that

\displaystyle\int_{0}^{4} x^{2}\,dx=\tfrac{64}{3}