# Riemann sums

Contents

Riemann sums is the name of a family of methods we can use to approximate the area under a curve. Through Riemann sums we come up with a formal definition for the definite integral.

See how you score on these 10 practice questions

Riemann sums is the name of a family of methods we can use to approximate the area under a curve. Learn about the different ways and how they are constructed.

The larger the number of terms in a Riemann sum, the more accurate it is. But as the number of terms increases, we need better ways to write them down. This is where sigma notation comes in very handy.

The trapezoidal rule is yet another way to approximate the area under a curve. Learn about they way it's constructed and how accurate it is comparing the rectangular Riemann sums.

The definite integral of a function is the limit of a sequence of Riemann sums where the intervals become infinitely small. Learn more about this formal definition.

Review your understanding of Riemann sums with some challenge problems.