Multivariable Calculus

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Moderate

Double Integral Over Triangular Region

MVCALC-KGOCD4

Evaluate the following integral:

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

...where $R$ is the region bounded by $y=|x|$ and $y=3$.

A

$2$

B

$10$

C

$12$

D

$18$

E

$64$