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AP® Calculus AB-BC

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Moderate

Riemann Sums Error Estimates

APCALC-WNZZXZ

The graph of $f$ is shown above for $0\leq x\leq 3$. Of the following, which has the greatest value?

A

$\int_{1}^{3}f(x)dx$

B

Left Riemann Sum approximation of $\int_{1}^{3}f(x)dx$ with $4$ subintervals of equal length.

C

Right Riemann Sum approximation of $\int_{1}^{3}f(x)dx$ with $4$ subintervals of equal length.

D

Midpoint Riemann Sum approximation of $\int_{1}^{3}f(x)dx$ with $4$ subintervals of equal length.