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Physics: Problems and Solutions

Integration

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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 extensionsEdit

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 physicsEdit

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 alsoEdit

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