Consider the following Gaussian Integral I=∫∞−∞e−x2 dx
The usual trick to calculate this is to consider I2=(∫∞−∞e−x2 dx)(∫∞−∞e−y2 dy)
and convert to polar coordinates. We get √π as the answer.
Is it possible to get the same answer by considering I3,I4,…,In?
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