Integration

Integration is the mathematical operation of finding the area between a graph and the axis of the dependent variable over a given interval. Integration is the opposite of differentiation (an integral is often called an antiderivative).

Multivariable extensions

A line integral is an integral taken over a curve above a plane, and a surface integral is one taken over a surface in three dimensions. Both can be taken over scalar, vector, or tensor fields.

Integrals in physics

$x(t) = \int^b_a v(t) dt$

$v(t) = \int^b_a a(t) dt$

$W(d) = \int^b_a F(x) dx$

$W(t) = \int^b_a P(t) dt$

See also

• Derivative
• Table of integrals
• Definite integral on Math wiki