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What is a Riemann sum used to define?

A Riemann Sum is a method for approximating the total area underneath a curve on a graph, otherwise known as an integral. It may also be used to define the integration operation.

How does the Riemann sum definition work?

A Riemann sum is an approximation of a region's area , obtained by adding up the areas of multiple simplified slices of the region. It is applied in calculus to formalize the method of exhaustion, used to determine the area of a region. This process yields the integral, which computes the value of the area exactly.

What is the Riemann integral?

Riemann integral. Loosely speaking, the Riemann integral is the limit of the Riemann sums of a function as the partitions get finer. If the limit exists then the function is said to be integrable (or more specifically Riemann-integrable).

What is integral form?

The integral form of the full equations is a macroscopic statement of the principles of conservation of mass and momentum for what is called a control volume.

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