Find the Definite Integral $\int _ { 0 } ^ { 3 } x ^ { 2 } e ^ { - x ^ { 3 } } d x$

question 53

Multiple Choice

Find the definite integral. $\int _ { 0 } ^ { 3 } x ^ { 2 } e ^ { - x ^ { 3 } } d x$

• A) \(\frac { 1 } { 3 } \left[ 1 - e ^ { - 27 } \right]\)
• B) \(- \frac { 1 } { 3 } \left[ 1 + e ^ { - 27 } \right]\)
• C) \(- 3 \left[ 1 - e ^ { - 27 } \right]\)
• D) \(3 \left[ 1 - e ^ { - 27 } \right]\)
• E) \(\left[ 1 - e ^ { - 27 } \right]\)

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