Is this a well-defined limit? If so, is the answer even zero lol? Reddit calculus r/askmath

We have the limit as a going to infinity of the integral of x from -a to a. Is this a well-defined limit? And if it is, is the answer even zero? The original post on Reddit: https://www.reddit.com/r/askmath/comments/119b1i1/is_this_a_well_defined_limit_and_if_it_is_the/?utm_source=share&utm_medium=web2x&context=3 Read more on the Cauchy principal value: https://en.wikipedia.org/wiki/Cauchy_principal_value ----------------------------- Support this channel and get my calculus notes on Patreon: 👉 https://www.patreon.com/blackpenredpen Get the coolest math shirts from my Amazon store 👉 https://amzn.to/3qBeuw6 ----------------------------- #calculus #bprpcalculus #apcalculus #tutorial #math