Evaluate the Differential Is Exact A) $e ^ { 4 } + e ^ { 9 } + e ^ { 6 } - 1$

question 277

Multiple Choice

Evaluate. The differential is exact.
- $$\int _ { ( 0,0,0 ) } ^ { ( 1,1,1 ) } 8 x e ^ { 4 x ^ { 2 } + 9 y ^ { 2 } + 6 z ^ { 2 } } d x + 18 y e ^ { 4 x ^ { 2 } + 9 y ^ { 2 } + 6 z ^ { 2 } } d y + 12 z e ^ { 4 x ^ { 2 } + 9 y ^ { 2 } + 6 z ^ { 2 } } d z$$

• A) \(e ^ { 4 } + e ^ { 9 } + e ^ { 6 } - 1\)
• B) \(\mathrm { e } ^ { 19 } - 3\)
• C) \(\mathrm { e } ^ { 19 } - 1\)
• D) 0

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