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Evaluate the Iterated Integral $\int _ { 0 } ^ { 2 } \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { x } 6 x y ^ { 2 } \sin z d z d y d x$

Question 1

Multiple Choice

Evaluate the iterated integral $\int _ { 0 } ^ { 2 } \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { x } 6 x y ^ { 2 } \sin z d z d y d x$ .

A) $\sqrt { 2 }$
B) 2
C) 4
D) 16
E) 12
F) $2 \sqrt { 2 }$
G) 48
H) 8

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