MathLiveIndefinite integral with constant of integration
The indefinite integral of a function f is an antiderivative F of f plus an arbitrary constant C, since differentiating removes any constant. It is used whenever an antiderivative is sought without fixed limits.
\int f(x)\,\mathrm{d}x = F(x) + CWhat the symbols mean
| the integrand, the function being integrated | |
| an antiderivative of f(x), so that F'(x)=f(x) | |
| arbitrary constant of integration | |
| the variable of integration |
About this formula
- FieldMathematics
- TopicIntegral calculus
- LevelUniversity
- Also calledconstant of integration, integration constant, antiderivative plus constant, indefinite integral formula, integral of f(x) dx, arbitrary constant of integration
- SourceWikidata Q1355804
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