If f is continuous on [a, b], then the function g defined by:
is continuous on [a, b] and differentiable on (a, b), and g'(x) = f(x).
The animation shows how the function g(x) varies as x moves from a to b. That is, g(x) is the shaded area. To see the animation again, refresh the page. (Note: This is best viewed in Internet Explorer. For this, you have my deepest apologies).
last modified September 05, 2007