antiderivative
Sign in to savethumb|The slope field of 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 .
Article
11 sectionsContents
- Examples
- Uses and properties
- Techniques of integration
- Of non-continuous functions
- Some examples
- Basic formulae
- See also
- Notes
- References
- Further reading
- External links
thumb|The slope field of 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 .
In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a function is a differentiable function whose derivative is equal to the original function . This can be stated symbolically as . 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. Antiderivatives are often denoted by capital Roman letters such as and .