This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)
 Documentation / Mathematica / The Mathematica Book / Practical Introduction / Numerical Mathematics  /

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}]


  • NIntegrate can handle singularities at the end points of the integration region.
  • In[2]:= NIntegrate[1/Sqrt[x (1-x)], {x, 0, 1}]


  • You can do numerical integrals over infinite regions.
  • In[3]:= NIntegrate[Exp[-x^2], {x, -Infinity, Infinity}]


  • 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} ]