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integral calculus. n. 1. (Mathematics) 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.. (Mathematics) 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.
This article is about mostly indefinite integrals in calculus. For a list of definite integrals, see List of definite integrals. Integration is the basic operation in integral calculus. While differentiation has easy rules by which the derivative of a complicated function can be found by differentiating its simpler component functions, integration does not, so tables of known integrals are often useful.