Symbolic integration

Part of a series of articles about
Calculus
${\displaystyle \int _{a}^{b}f'(t)\,dt=f(b)-f(a)}$
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Advanced Calculus on Euclidean space Generalized functions Limit of distributions
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Miscellanea Precalculus History Glossary List of topics Integration Bee Mathematical analysis Nonstandard analysis

In calculus, symbolic integration is the problem of finding a formula for the antiderivative, or indefinite integral, of a given function f(x), i.e. to find a formula for a differentiable function F(x) such that

${\displaystyle {\frac {dF}{dx}}=f(x).}$

The family of all functions that satisfy this property can be denoted

${\displaystyle \int f(x)\,dx.}$