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Int (e^(-x^2)) = Int (1 + (-x^2) + (-x^2)^2/2! + (-x^2)^3/3! + ...

= x - x^3/3 + x^5/(5*2!) - x^7/(7*3!) ...

which, if taken with limits of integration from negative infinity to infinity, solves to the square root of x, making it one of the most famous and beautiful formulas in math.

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15y ago

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