Question

Show that:

Answer 1

\[\int\limits_{-\infty}^{\infty}e ^{-x^2}dx=\sqrt{pi}\]

Answer 2

Is this a puzzle or do you want to know how this is done?

Answer 3

i want to know how it is done

Answer 4

ok, in that case you just need to convert this into a double integral using polar coordinates.
there is a great MIT video on just this here: http://www.youtube.com/watch?v=fWOGfzC3IeY

Answer 5

thanks

Answer 6

yw