define calculus integration??
Answers
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Integration, in mathematics, technique of finding a function g(x) the derivative of which, Dg(x), is equal to a given function f(x). This is indicated by the integral sign “∫,” as in ∫f(x), usually called the indefinite integral of the function.
Explanation:
The process of finding integrals is called integration. ... The fundamental theorem of calculus relates definite integrals with differentiation and provides a method to compute the definite integral of a function when its antiderivative is known.
SYMBOL :
He adapted the integral symbol, ∫, from the letter ſ (long s), standing for summa (written as ſumma; Latin for "sum" or "total").
DERIVATIVE :
The conclusion of the fundamental theorem of calculus can be loosely expressed in words as: "the derivative of an integral of a function is that original function", or "differentiation undoes the result of integration". so we see that the derivative of the (indefinite) integral of this function f(x) is f(x).
PURPOSE :
Integrals are often described as finding the area under a curve. This description is too narrow: it's like saying multiplication exists to find the area of rectangles. Finding area is a useful application, but not the purpose of multiplication. Key insight: Integrals help us combine numbers when multiplication can't.