# 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.
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### Riemann sums

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.

### Riemann sums with sigma notation

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.

### Trapezoidal rule

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.