MathLiveSecond fundamental theorem of calculus
If F is an antiderivative of f, meaning F' = f, then the definite integral of f from a to b equals F(b) minus F(a). It is the standard way to evaluate definite integrals by finding an antiderivative.
\int_a^b f(x)\,\mathrm{d}x = F(b) - F(a)What the symbols mean
| integrand, a continuous function on the interval [a,b] | |
| an antiderivative of f, so that F'(x) = f(x) | |
| lower limit of integration | |
| upper limit of integration |
About this formula
- FieldMathematics
- TopicIntegral calculus
- LevelUniversity
- Also calledfundamental theorem of calculus, evaluation theorem, integral of a derivative, definite integral from antiderivative, newton-leibniz formula, integral using antiderivative
- SourceWikidata Q116450178
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