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Write and evaluate an integral that gives the volume of the solid bounded by the surface $f(x,y)=xy$ over the square:

$$R=\{(x,y): 0\leq x\leq 2, 2\leq y\leq 4\}$$

A

$12$

B

$16$

C

$24$

D

$16\pi$

E

$\pi$

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