Line integrals

A line integral accumulates a scalar density or vector-field work along a curve.

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Divergence and curl
Divergence measures local flux expansion; curl measures local circulation in three dimensions.
Double and triple integrals
Integration over planar or spatial regions accumulates density into total quantities.
Green, Stokes and divergence theorems
Under smoothness and orientation hypotheses, boundary integrals equal corresponding interior derivative integrals.
Multivariable functions
A multivariable function assigns an output to a tuple of inputs in its domain.
Antiderivatives
An antiderivative has the given function as its derivative; on an interval, any two antiderivatives differ by a constant.