First Fundamental Theorem of Calculus

This is an illustration of the first fundamental theorem of calculus. The graph on the left shows rectangles

wide by

high approximating the area under the curve at

. The graph on the right is scaled to show only the additional area from

. The slider can be used to decrease the rectangle width and the unlabeled blue point can change the location of

. The points A and B can be used to change the limits of integration, ( B does not really do anything since the other point controls

). The function can be modified by moving the black points.

New Resources