Indefinite Integral | Britannica

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calculus

• In calculus: Differentiation and integration

  This is called the (indefinite) integral of the function y = x2, and it is written as ∫x2dx. The initial symbol ∫ is an elongated S, which stands for sum, and dx indicates an infinitely small increment of the variable, or axis, over which the function is being summed.…

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definition and notation

• In integral

  An indefinite integral, sometimes called an antiderivative, of a function f(x), denoted byis a function the derivative of which is f(x). Because the derivative of a constant is zero, the indefinite integral is not unique. The process of finding an indefinite integral is called integration.

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