Fundamental Theorem of Calculus Part 2
Move the points a and b in the first window. The area between the curve and the x-axis is given. We first explored this area using Riemann Sums. This area is called the integral. The second window states the Fundamental Theorem of Calculus Part 2. Look at the coordinates for points P and Q. How are these coordinates calculated? What is the relationship between these coordinates and the x values of a and b? Drag the slider labeled n to explore this with other functions. Notice what happens when there is a discontinuity.