hope it helps
I am a hack trying to get a grip on the inverse hyperbolic functions.
I am a little confused because some descriptions say that the inverse hyperbolic functions are the function that gives the area under a segment of hyperbola x^2-y^2=1. While others say that they are the function that gives the area of a sector of two lines drawn from the origin to the hyperbola y=1/x.
If someone could just explain the relation between the areas of the two hyperbolae x^2-y^2=1 and y=1/x, that would be great.