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Quick Calculation of Laplace Integral

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Please see the attached file for the fully formatted problem.

Construct the quickest method to calculate the Laplace Integral.

I = S e^(-x^2) dx infinity --> infinity

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Solution Summary

A quick calculation of a Laplace integral is proposed. The quickest methods to calculate the Laplace integral is given.

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Laplace Integral I has numerous applications in different items of mathematics: calculus, differential equations, probability theory and statistics. Below (see attachment)is the quickest method to calculate its value without reference to hand-book. Some books on integral calculus have this approach, but it seems not that well ...

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