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

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==Theorem==
 
==Theorem==
 
The following formula holds:
 
The following formula holds:
$$\left( \int_{t_0}^x f(\tau) \Delta \tau) \right)^{\Delta} = f(x).$$
+
$$\left( \int_s^t f(\tau) \Delta \tau) \right)^{\Delta} = f(t),$$
 +
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.

Proof

References