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1.6.2 Numerical Sums, Products and Integrals
Numerical sums, products and integrals.
Here is a numerical approximation to  .
In[1]:= NSum[1/i^3, {i, 1, Infinity}]
Out[1]= 
NIntegrate can handle singularities at the end points of the integration region.
In[2]:= NIntegrate[1/Sqrt[x (1-x)], {x, 0, 1}]
Out[2]= 
You can do numerical integrals over infinite regions.
In[3]:= NIntegrate[Exp[-x^2], {x, -Infinity, Infinity}]
Out[3]= 
Here is a double integral over a triangular domain. Note the order in which the variables are given.
In[4]:= NIntegrate[ Sin[x y], {x, 0, 1}, {y, 0, x} ]
Out[4]= 
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