Calculate the Following Integral Exactly $\pi$ $\sqrt { 2 }$ , and So On

question 17

Multiple Choice

Calculate the following integral exactly.(Your answer should not be a decimal approximating the true answer, but should be exactly equal to the true answer.Your answer may contain e, $\pi$ , $\sqrt { 2 }$ , and so on.) $\int _ { 3 } ^ { 4 } \int _ { 0 } ^ { y } y ^ { 2 } e ^ { x y } d x d y$

• A) \(\frac { 1 } { 2 } \left( - 7 - e ^ { 9 } + e ^ { 16 } \right)\)
• B) \(\frac { 1 } { 2 } \left( 25 - e ^ { 9 } + e ^ { 16 } \right)\)
• C) \(\frac { 1 } { 2 } \left( - 7 + e ^ { 9 } - e ^ { 16 } \right)\)
• D) \(\frac { 1 } { 3 } \left( - 7 - e ^ { 9 } + e ^ { 16 } \right)\)

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