Evaluate the triple integral $\iiint _ { E } ( x + 2 y ) d V$ , where $E = \{ ( x , y , z ) \mid 0 \leq x \leq 1,0 \leq y \leq 1,0 \leq z \leq 1 \}$ .
A) $\frac { 1 } { 4 }$

B) $\frac { 1 } { 2 }$
C) $\frac { 3 } { 4 }$
D)1
E) $\frac { 5 } { 4 }$
F) $\frac { 3 } { 2 }$

G) $\frac { 7 } { 4 }$
H)2

Question

Evaluate the triple integral $\iiint _ { E } ( x + 2 y ) d V$ , where $E = \{ ( x , y , z ) \mid 0 \leq x \leq 1,0 \leq y \leq 1,0 \leq z \leq 1 \}$ .
A) $\frac { 1 } { 4 }$

B) $\frac { 1 } { 2 }$ 
C) $\frac { 3 } { 4 }$
D)1
E) $\frac { 5 } { 4 }$ 
F) $\frac { 3 } { 2 }$ 
 
G) $\frac { 7 } { 4 }$ 
H)2

Quizplus · Accepted Answer

The integral evaluates to $\int_0^1 \int_0^1 \int_0^1 (x + 2y) \, dz \, dy \, dx = \int_0^1 \int_0^1 (x + 2y) \, dy \, dx = \int_0^1 \left( x + y^2 \right) \, dx = \frac{3}{2}$.

Evaluate the Triple Integral ∭E(x+2y)dV\iiint _ { E } ( x + 2 y ) d V∭E​(x+2y)dV

Evaluate the Triple Integral $\iiint _ { E } ( x + 2 y ) d V$