What Is a Right Riemann Sum?


Quick Answer

A Right Riemann Sum estimates the right endpoint of the curve on a graph. According to Math Open Reference, a Riemann Sum is a method for estimating the total area underneath a curve on a graph, otherwise known as an integral.

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Full Answer

The Right Riemann sum is a method that calculates an approximation using the right endpoint of a subinterval, according to Wikipedia. It is also known as a right-hand sum. Riemann sums are calculated by taking the sum of a function multiplied by a small amount of the independent variable, according to Math Open Reference.

A right-hand sum is similar to a left-hand sum, but for the right-hand sum one should use the value of the function at the right endpoint to determine rectangle height, according to Shmoop. In order to find a right-hand sum, one must know the value of the function at the right endpoint of each sub interval.

The Riemann sum was named after German mathematician Georg Friedrich Bernhard Riemann, who lived in the mid-1800s. Riemann has a long list of formulas and concepts named after him due to his many publications in math: including papers on geometry, calculus and algebra. He is most famously known for Riemannian geometry, algebraic geometry and the complex manifold theory, according to Wikipedia.

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