Evaluate the Double Integral $\int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } x y e ^ { - \left( 4 x ^ { 2 } + 9 y ^ { 2 } \right) } d x d y$

question 72

Multiple Choice

Evaluate the double integral $\int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } x y e ^ { - \left( 4 x ^ { 2 } + 9 y ^ { 2 } \right) } d x d y$ .

• A) \(\frac { 1 } { 180 }\)
• B) \(\frac { 1 } { 19 }\)
• C) \(\frac { 1 } { 144 }\)
• D) \(- \frac { 1 } { 72 }\)
• E) \(- \frac { 1 } { 108 }\)

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