This does an integral over the interior of the unit circle. Here is an equivalent form. Even though an integral may be straightforward over a simple rectangular region, it ...

Unicode: 222F. Compound operator. ∯ f s is by default interpreted as ContourIntegral[f,s]. Used to indicate integrals over closed surfaces.

In many practical situations it is convenient to consider limits in which a fixed amount of something is concentrated into an infinitesimal region. Ordinary mathematical ...

DiracDelta[x] represents the Dirac delta function \[Delta](x). DiracDelta[x_1, x_2, ...] represents the multidimensional Dirac delta function \[Delta](x_1, x_2, ...).

NIntegrate[f, {x, x_min, x_max}] gives a numerical approximation to the integral \[Integral]_x_min^x_max\ f\ d \ x. NIntegrate[f, {x, x_min, x_max}, {y, y_min, y_max}, ...] ...

Boole[expr] yields 1 if expr is True and 0 if it is False.

LimitsPositioning is an option for UnderoverscriptBox and related boxes that specifies whether to change the positioning of underscripts and overscripts in the way ...

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

You can use the Mathematica function DSolve to find symbolic solutions to ordinary and partial differential equations. Solving a differential equation consists essentially in ...

In two decades of intense algorithmic development, Mathematica has established a new level of numerical computation. Particularly notable are its many original highly ...