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Given That 0ex2dx=π2\int _ { 0 } ^ { \infty } e ^ { - x ^ { 2 } } d x = \frac { \sqrt { \pi } } { 2 }

Question 45

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Given that 0ex2dx=π2\int _ { 0 } ^ { \infty } e ^ { - x ^ { 2 } } d x = \frac { \sqrt { \pi } } { 2 } , evaluate 0e9x2dx\int _ { 0 } ^ { \infty } e ^ { - 9 x ^ { 2 } } d x .

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