1. The problem statement, all variables and given/known data I just learned this idea from my lecture in calculus. I think I understand it at a surface level but don't know much about why it is an astounding discovery as my lecturer suggested. 2. Relevant equations So, it states that let (f) be a continuous on an interval [a,b]. Let (g) be an anti-derivative of (f). Then ∫(b up) (a down) f(x) dx = g(b)-g(a) 3. The attempt at a solution Your take on this?