ISI2016-MMA-23

Question

Given that $\int_{-\infty}^{\infty} e^{-x^2/2} dx = \sqrt{2 \pi}$, what is the value of $\int_{- \infty}^{\infty} \mid x \mid ^{-1/2} e^{- \mid x \mid} dx$?

• A. $0$
• B. $\sqrt{\pi}$
• C. $2 \sqrt{\pi}$
• D. $\infty$

Comments

https://kconrad.math.uconn.edu/blurbs/analysis/gaussianintegral.pdf