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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.
Basic Integration Principles. Register for FREE to remove ads and unlock more features! Register for FREE to remove ads and unlock more features! Integration is the process of finding the region bounded by a function; this process makes use of several important properties. Apply the basic principles of integration to integral problems. The term integral may also refer to the notion of the anti-derivative, a function $F$ whose derivative is the given function $f$. In this case, it is called an indefinite integral and is written, $\int f(x)\,dx = F(x) + C$ .