the branch of mathematics that deals with integrals, especially the methods of ascertaining indefinite integrals and applying them to the solution of differential equations and the determining of areas, volumes, and lengths.
the branch of calculus concerned with the determination of integrals and their application to the solution of differential equations, the determination of areas and volumes, etc Compare differential calculus
integral calculus
The study of integration and its uses, such as in calculating areas bounded by curves, volumes bounded by surfaces, and solutions to differential equations. Compare calculus of variations, differential calculus.


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  • Integral-curve

    noun, Mathematics. 1. a curve that is a geometric representation of a functional solution to a given differential equation.

  • Integral-equation

    noun, Mathematics. 1. an equation in which an integral involving a dependent variable appears.

  • Integral-domain

    noun, Mathematics. 1. a commutative ring in which the cancellation law holds true.

  • Integral-function

    noun, Mathematics (chiefly British) . 1. an entire function.

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