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Path integral may refer to: 1  Line integral, the integral of a function along a curve. 2  Functional integration, the integral of a functional over a space of curves. 3  Path integral formulation of quantum mechanics using functional integration, due to Richard Feynman.
The integral is an important concept in mathematics. Integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function f of a real variable x and an interval [a, b] of the real line, the definite integral. is defined informally as the signed area of the region in the xy-plane that is bounded by the graph of f, the x-axis and the vertical lines x = a and x = b.