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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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