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        tell me the full concept of integral calculas how area under a curve can be determined through this
7 years ago

SAGAR SINGH - IIT DELHI
879 Points
										Dear vikash,
Numerical integration constitutes a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also sometimes used to describe the numerical solution of differential equations. This article focuses on calculation of definite integrals. The term numerical quadrature (often abbreviated to quadrature) is more or less a synonym for numerical integration,  especially as applied to one-dimensional integrals. Numerical  integration over more than one dimension is sometimes described as cubature, although the meaning of quadrature is understood for higher dimensional integration as well.
The basic problem considered by numerical integration is to compute an approximate solution to a definite integral:
$\int_a^b\! f(x)\, dx.$
If f(x) is a smooth well-behaved function, integrated  over a small number of dimensions and the limits of integration are  bounded, there are many methods of approximating the integral with  arbitrary precision.

We are all  IITians and here to help you in your IIT  JEE preparation.  All the best.

Sagar Singh
B.Tech IIT Delhi


7 years ago
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