AP® Calculus AB-BC

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Moderate

Trapezoidal Table: Estimating the Integral

APCALC-WUVZEF
x 1 3 5 7 9 11 13
f(x) 2 3 6 10 14 8 4



Assume $f(x)$ is a function that is continuous on the interval $[1,13]$ with selected values of the function given in the table above. Use a trapezoidal approximation with $3$ subintervals of equal length to estimate:

$$\int _{ 1 }^{ 13 }{ f( x ) dx } $$

A

$52$

B

$184$

C

$84$

D

$92$