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Multivariable Calculus

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Double Integral with Linear Integrand

MVCALC-DK4E06

Evaluate the following integral:

$$I=\iint_R (x+3y)dA$$

...where $R=\{(x,y): 0\leq x \leq 3, 1\leq y\leq 4\}.$

A

$\cfrac{9}{2}$

B

$18$

C

$81$

D

$19\pi$

E

$9\pi$