## Evaluating ∫∞−∞e−x2dx\int_{-\infty}^{\infty}e^{-x^2}dx using polar coordinates. [duplicate]

This question already has answers here: Proving ∫∞0e−x2dx=√π2 (19 answers) Closed 6 years ago. I need to express the following improper integral as a double integral of x and y and then, using polar coordinates, evaluate it. I=∫∞−∞e−x2dx Plotting it, we find a Gaussian centered at x=0 which tends to infinity to both sides. We … Read more