# Difference between revisions of "Delta derivative of the delta integral"

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==Theorem== | ==Theorem== | ||

The following formula holds: | The following formula holds: | ||

− | $$\left( \ | + | $$\left( \int_s^t f(\tau) \Delta \tau) \right)^{\Delta} = f(t),$$ |

+ | where $\int$ denotes the [[delta integral]] and $\Delta$ denotes the [[delta derivative]]. | ||

==Proof== | ==Proof== |

## Revision as of 23:35, 22 August 2016

## Theorem

The following formula holds: $$\left( \int_s^t f(\tau) \Delta \tau) \right)^{\Delta} = f(t),$$ where $\int$ denotes the delta integral and $\Delta$ denotes the delta derivative.