Two young mathematicians discuss what calculus is all about.
- Ah. So now we have a connection between derivatives and integrals.
- Right, the derivative of the accumulation function is the ‘‘inside’’ function.
- So how do we use this to compute area?
Sometimes it helps to think about the most basic examples. Consider We know (by geometry) that this computes the area of a rectangle which equals . On the other hand, if we consider the accumulation function we see that