Dictionary

A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.

Example: The integral of x\mapsto x^2 on [0,1] is \frac{1}{3}.

A definite integral, a limit of sums.

Antiderivative

Example: The integral of x^2 is \frac{x^3}{3} plus a constant.

Constituting a whole together with other parts or factors; not omittable or removable

Of, pertaining to, or being an integer.

Relating to integration.

Whole; undamaged.