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Can you give a definition of an indefinite integral?
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Answer from AI
The indefinite integral of a function is the family of all its antiderivatives, that is, functions whose derivative equals the original function. It is written as:
[ \int f(x) , dx = F(x) + C ]
where:
- (f(x)) is the integrand,
- (F(x)) is the indefinite integral (antiderivative),
- (C) is an arbitrary constant of integration.
Example: if (f(x) = 2x), then the indefinite integral (\int 2x , dx = x^2 + C).