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indefinite integral

The notation \int f(x)\,dx = F(x)+C for the entire family of antiderivatives of f.

The indefinite integral \int f(x)\,dx denotes the whole family of antiderivatives of f, written F(x)+C where F'=f and C is an arbitrary constant — "indefinite" because it names a family, not one number.

Examples

  • \displaystyle\int 2x\,dx = x^2+C.

See also

antiderivative definite integral
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