Pressemitteilungen aussenden Sofort sichtbar in Google, Bing, Yahoo The integral is an important concept in mathematics. Integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function f of a real variable x and an interval [a, b] of the real line, the definite integral
is defined informally as the signed area of the region in the xy-plane that is bounded by the graph of f, the x-axis and the vertical lines x = a and x = b. The area above the x-axis adds to the total and that below the x-axis subtracts from the total.
The term integral may also refer to the related notion of the antiderivative, a function F whose derivative is the given function f. In this case, it is called an indefinite integral and is written:
However, the integrals discussed in this article are those termed definite integrals.
The principles of integration were formulated independently by Isaac Newton and Gottfried Leibniz in the late 17th century.
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