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Evaluate the Improper Integral ∫−∞∞xe−x2dx\int _ { - \infty } ^ { \infty } x e ^ { - x ^ { 2 } } d x

Question 112

Multiple Choice

Evaluate the improper integral ∫−∞∞xe−x2dx\int _ { - \infty } ^ { \infty } x e ^ { - x ^ { 2 } } d x


A) ee

B) e2−1e ^ { 2 } - 1
C) 0
D) e2e ^ { 2 }
E) e−1e ^ { - 1 }
F) e−2e ^ { - 2 }
G) 1
H) 1−e−21 - e ^ { - 2 }


Correct Answer:

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