Question

The value of \(\displaystyle \int_{-\infty}^{\infty} e^{-x^2}\,dx\) is:

• A. \(\sqrt{\pi}\)
• B. \(\pi\)
• C. \(1/\sqrt{\pi}\)
• D. \(2\sqrt{\pi}\)

Hint:

Gaussian integrals are standard results.

Answer 1

The Correct Option is A

This is the standard Gaussian integral: \[ \int_{-\infty}^{\infty} e^{-x^2}\,dx=\sqrt{\pi} \]