# Riemann sum

A **Riemann sum** is a finite approximation to the Riemann Integral.

## Definition

Let

Let be a tagged partition on

The **Riemann sum** of with respect to on is defined as

## Related Terms

### The Upper sum

Let

Let be a partition on

Let

The **Upper sum** of with respect to on is defined as

### The Lower sum

Let

Let be a partition on

Let

The **Lower sum** of with respect to on is defined as

## See Also

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