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. In[1]:= Out[1]= In[2]:= Out[2]= In[3]:= Out[3]= 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. In[4]:= Out[4]= There are some functions that will give NIntegrate trouble. In[5]:= Out[5]= 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. In[6]:= Out[6]=

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