Evaluate the Iterated Integral $\int _ { 0 } ^ { 1 } \int _ { x } ^ { 3 x } \int _ { \sqrt { y } } ^ { x } 2 z d z d y d x$

Evaluate the iterated integral $\int _ { 0 } ^ { 1 } \int _ { x } ^ { 3 x } \int _ { \sqrt { y } } ^ { x } 2 z d z d y d x$ .

A) $- \frac { 5 } { 12 }$

B) $- \frac { 5 } { 6 }$
C) $- \frac { 1 } { 12 }$
D) $- \frac { 1 } { 6 }$
E)
$\frac { 5 } { 12 }$
F) $\frac { 5 } { 6 }$

G) $\frac { 1 } { 12 }$

H) $\frac { 1 } { 6 }$

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free