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Multivariable Calculus

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Difficult

Simplify Expression

MVCALC-OYMZJF

Simplify the following expression:

$$\frac{\iint_R f(xy)dxdy}{\int_1^2 f(u)du}$$

...where $R$ is the region enclosed by $xy=1, xy=2, y=x, y=4x$ in the first quadrant, $f$ is a continuous function that is strictly positive on $R$.

A

$\ln 2$

B

$2$

C

$1$

D

$0$

E

None of the above