Numerical sums, products and integrals. Here is a numerical approximation to ∑_(i=1)^∞((1)/(i^3)). NIntegrate can handle singularities in the integration region.

An integration strategy is an algorithm that attempts to compute integral estimates that satisfy user-specified precision or accuracy goals. An integration strategy normally ...

An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

Using original algorithms developed at Wolfram Research, Mathematica evaluates error and exponential integral functions anywhere in the complex plane, to arbitrary ...

InverseLaplaceTransform[expr, s, t] gives the inverse Laplace transform of expr. InverseLaplaceTransform[expr, {s_1, s_2, ...}, {t_1, t_2, ...}] gives the multidimensional ...

One of the important features of Mathematica is its ability to give you exact, symbolic, results for computations. There are, however, computations where it is just ...

There are many situations where you want to write a particular algebraic expression in the simplest possible form. Although it is difficult to know exactly what one means in ...

This equation is solved by simply integrating the right-hand side with respect to x. Here is a plot of the integral curves for different values of the arbitrary constant C[1].

Unicode: 222E. Alias: Esc cint Esc. Compound operator. ∮ f x is by default interpreted as ContourIntegral[f,x].

Unicode: 2233. Alias: Esc cccint Esc. Compound operator. ∳ f x is by default interpreted as CounterClockwiseContourIntegral[f,x].