Sooner or later, all math leads to Calculus, no matter how much we would like to beleive that isn't true. Here's our Calc section... Brush up on your college math, pull out a your dusty textbook and get comfy.
Let [x] be the smallest integer less than or equal to x, and let {x} be the decimal part of x, ie {x}=x-[x]. For any integer n>1, evaluate the following integral from 1 to n, in terms of n: