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The '''Riemann integral''' is the mathematical definition of the integral of a function, that is, a measure of the area enclosed by its graph in [[calculus]].  The term, along with '''Riemann sum''', is also a useful method for approximating that area.

The '''Riemann integral''' is the mathematical definition of the integral of a function, that is, a measure of the area enclosed by its graph in [[calculus]].  The term, along with '''Riemann sum''', is also a useful method for approximating that area.

[[File:Riemannsums.gif|thumb|How the Riemann integral works. The blue region shows the lower estimate of the strip areas, blue+yellow is the actual function area, and blue+yellow+pink is the upper estimate.  Yellow+pink is the difference between the low and high estimates.]]

[[File:RiemannSum.jpg|thumb|How the Riemann integral works. The blue region shows the lower estimate of the strip areas, blue+yellow is the actual function area, and blue+yellow+pink is the upper estimate.  Yellow+pink is the difference between the low and high estimates.]]

==Theoretical Introduction==

==Theoretical Introduction==