Integrate the Function F Over the Given Region $f ( x , y ) = y ^ { 2 } e ^ { x ^ { 4 } }$

question 167

Multiple Choice

Integrate the function f over the given region.
- $f ( x , y ) = y ^ { 2 } e ^ { x ^ { 4 } }$ over the triangular region in the first quadrant bounded by the lines $x = y / 2 , x = 1 , y = 0$

• A) \(\frac { 8 } { 3 } ( \mathrm { e } - 1 )\)
• B) \(8 ( e + 1 )\)
• C) \(\frac { 2 } { 3 } ( \mathrm { e } - 1 )\)
• D) \(\frac { 2 } { 3 } \mathrm { e }\)

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