# Double Integral : Change of Variables to Polar Coordinate

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Prove

∫ 0 --->∞ e^(-x^2) dx = sqrt(pi)/2

Hint: multiply the integral with itself, use a different dummy variable y, say, for the second integral, write it as a double integral, and use change of variables to polar coordinate.

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#### Solution Summary

A Change of Variable to Polar Coordinate is used to solve a Double Integral. The solution is detailed and well presented.

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