Question

explain Riemann integration

Answer 1

a sequence of Riemann sums over a regular
partition of an interval. the number of an top is the total area of the rectangle, which converges to the intergal of the function.

Answer 2

Riemann integration is the formulation of integration most people think of if they ever think about integration. It is the only type of integration considered in most calculus classes; many other forms of integration, notably Lebesgue integrals, are extensions of Riemann integrals to larger classes of functions. The Riemann integral was developed by [[w:Bernhard Riemann|Bernhard Riemann]] in 1854 and was, when invented, the first rigorous definition of integration applicable to not necessarily continuous functions.

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