I note that some people like to write the inverse hyperbolic functions not with the prefix "arc" (like regular inverse trigonometric functions), but rather "ar". This is because the prefix "arc" (for arcus) is misleading, because unlike regular trigonometric functions, they are not used to find lengths (inverse trigonometric functions can be used to find arc length of ellipses like $x^2+y^2=1$) but rather find area of a sector of the unit hyperbola.
Which version should be preferred? $\operatorname{arsinh}$ initially confused me as I did not know why "ar" was used. However, some seem to prefer this notation as it is more of an accurate description of the function.