Reverse the Order of Integration and Then Evaluate the Integral $$\int _ { 0 } ^ { 1 } \int _ { 2 y } ^ { 2 } x ^ { 4 } e ^ { x ^ { 2 } y } d x d y$$

question 114

Multiple Choice

Reverse the order of integration and then evaluate the integral.
- $$\int _ { 0 } ^ { 1 } \int _ { 2 y } ^ { 2 } x ^ { 4 } e ^ { x ^ { 2 } y } d x d y$$

• A) \(\mathrm { e } ^ { 4 } - \frac { 10 } { 3 }\)
• B) \(2 \mathrm { e } ^ { 4 } - 10\)
• C) \(e ^ { 4 } - 1\)
• D) \(\frac { 2 \mathrm { e } ^ { 4 } - 10 } { 3 }\)

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