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Indefinite integral

Indefinite integral The slope field of F ( x ) = x 3 3 − x 2 2 − x + C {\displaystyle F(x)={\frac {x^{3}}{3}}-{\frac {x^{2}}{2}}-x+C} , showing three of the infinitely many solutions that can be produced by varying the arbitrary constant C. In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a function f is a differentiable function F whose derivative is equal to the original function f. This can be stated symbolically as F' = f. The process of solving for antiderivatives is called antidifferentiation (or indefinite integration), and its opposite operation is called differentiation, which is the process of finding a derivative.

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