Recent content by Ryan888

Unfortunately, that one sentence stating the problem is the only information given. My guess is it probably means the natural numbers.

Homework Statement : Recently, a group of fellow math nerds and myself stumbled upon an interesting problem. The problem is stated: "Find the average number of representations of a positive integer as the sum of two squares." Relevant equations: N = a^(2) + b^(2), where a and b can be 1 or...

That doesn't seem to cleanly simplify out either unfortunately - at least when I do it. Great idea though, thank you!

< Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown >[/color] 1) ∫ dx/((x^(2))(x^(2)+4)^(1/2))2) I'm really stumped on this integral. I've tried several different methods of integration, but I kept getting stuck.3) The problem doesn't look like it...