Integration is part of the important concepts that are associated with mathematics and is part of the main operations in calculus. It has to be given the function f of a variable x that is real, as well as the interval which is a, b, of that real line, and this is the definite integral:

This has been informally defined as the signed area of a region that is in the x/y-plane and has its boundary defined by a graph of f, the x-axis, as well as vertical lines x that is a, and x that is equal to b. The term known as integral could also refer to the related notion of antiderivative, which is a function F whose derivative is the function that is given. In such a case, an indefinite integral is defined and also written like this:

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