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NIntegrate
 NIntegrate[f, {x, xmin, xmax}] gives a numerical approximation to the integral  .
Multidimensional integrals can be specified, as in Integrate.
NIntegrate tests for singularities at the end points of the integration range.
NIntegrate[f, {x,  ,  , ... ,  }] tests for singularities at each of the intermediate points  . If there are no singularities, the result is equivalent to an integral from  to  . You can use complex numbers  to specify an integration contour in the complex plane.
See also: Integrate, ND, SolveODE.
Examples
Using InstantCalculators
Here are the InstantCalculators for the NIntegrate function. Enter the parameters for your calculation and click Calculate to see the result.
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Entering Commands Directly
You can paste a template for this command via the Text Input button on the NIntegrate Function Controller.
Functions that cannot be integrated using algebraic routines can nonetheless be integrated numerically.
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There are some functions that will give NIntegrate trouble.
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Another way to solve the problem is to make NIntegrate break the integration region into several pieces, with a small piece that explicitly covers the neighborhood of the peak.
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