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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.
Both differential calculus and integral calculus are concerned with the effect on a function of an infinitesimal change in the independent variable as it tends to zero. 2. (Mathematics) any mathematical system of calculation involving the use of symbols. 3. (Logic) logic an uninterpreted formal system.