Riemann Sums

Definition

Riemann Sums is a numerical approximation of integrals (Area under the Curve) by dividing the area into infinitesimally thin rectangles. The limiting value of this summation will give the integral.

Explore!

Use the applet below to explore Riemann Sums.

Use the purple slider toggle between some exemplar functions.

Use the blue slider to toggle between Left, Right and Middle Sum.

Use the green slider to change the number of partitions.

Move the Blue Points A & B to shift the limits (bounds) of the interval.