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In mathematics (specifically multivariable calculus), a multiple integral is a definite integral of a function of several real variables, for instance, f(x, y) or f(x, y, z). Integrals of a function of two variables over a region (the real-number plane) are called double integrals, and integrals of a function of three variables over a region (real-number 3D space) are called triple integrals.