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Multivariable Calculus

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Triple Integral of Linear Function

MVCALC-1EUH1L

Evaluate the triple integral:

$$I=\int_{-1}^1 \int_0^x\int_0^{x+y} (2x+3y)dzdydx$$

A

$\cfrac{5}{8}$

B

$\cfrac{11}{4}$

C

$\cfrac{13}{4}$

D

$\cfrac{7}{24}$

E

$\cfrac{11}{24}$