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

question 213

Multiple Choice

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) \(\frac { 1 } { 6 }\)

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