FTC

Fundamental Theorem of Calculus This is the theorem that relates indefinite integrals (aka anti-derivatives) with definite integrals (area under curve).

1. Click and drag the **red X** and look at both graphs. The function at right is the indefinite integral of the function at left. media type="custom" key="11367754" media type="custom" key="11369886"
 * Thinking about derivatives and indefinite integrals:** Notice the red y-values are the same in both graphs. Why?

Credits to: Alan Cooper and Doug Lapp et.al of LinkedIn for showing me ways to think about this. P.S. The actual proof of the FTC is full of lots of notation, but Wikipedia has good stuff at: http://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus