I need the help of all you math folks out there...I'm working on a bonus assignment in my calculus 2 class. Here's the problem: Suppose the curve y=f(x) passes through the origin and the point (1,1). Find the value of the integral of f'(x) dx from 0 to 1. I thought this question just wanted a restatement of the fundamental theorem of calculus. But since it's a bonus problem, I know that there has to be something tricky here. It does ask for a "value". Obviously this curve can take any shape, so there's no general formula for the area. Does anyone have any suggestions?