Find the Value of the Integral $\int _ { 0 } ^ { 1 } x ^ { 2 } e ^ { - x ^ { 3 } } d x$

question 177

Multiple Choice

Find the value of the integral $\int _ { 0 } ^ { 1 } x ^ { 2 } e ^ { - x ^ { 3 } } d x$

• A) \(\frac { - e } { 2 }\)
• B) \(\frac { e } { 2 }\)
• C)\(\frac { 1 - e ^ { - 1 } } { 2 }\)
• D) \(e\)
• E)\(- e\)
• F) \(\frac { 1 - e ^ { - 1 } } { 3 }\)
• G) \(\frac { e ^ { - 1 } } { 2 }\)
• H) \(e ^ { - 1 }\)

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