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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.
The second fundamental theorem of calculus states that if the function f is continuous, then. d\dx. This means that the derivative of the integral of a function f with respect to the variable t over the interval [a,x] is equal to the function f with respect to x.t is the theorem that shows the relationship between the derivative and the integral and between the definite integral and the indefinite integral. It is broken into two parts, the first fundamental theorem of calculus and the second fundamental theorem of calculus.