Definitions for line integral

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  1. line integral(Noun)

    An integral the domain of whose integrand is a curve.

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  1. Line integral

    In mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The function to be integrated may be a scalar field or a vector field. The value of the line integral is the sum of values of the field at all points on the curve, weighted by some scalar function on the curve. This weighting distinguishes the line integral from simpler integrals defined on intervals. Many simple formulae in physics have natural continuous analogs in terms of line integrals. The line integral finds the work done on an object moving through an electric or gravitational field, for example.

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