Difference between revisions of "Delta integrals are additive over intervals"

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(Created page with "==Theorem== The following formula holds: $$\int_a^b f(t) \Delta t = \int_a^c f(t) \Delta t + \int_c^b f(t) \Delta t.$$ ==Proof== ==References== Category:Theorem Categ...")
 
 
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==Theorem==
 
==Theorem==
 
The following formula holds:
 
The following formula holds:
$$\int_a^b f(t) \Delta t = \int_a^c f(t) \Delta t + \int_c^b f(t) \Delta t.$$
+
$$\int_a^b f(t) \Delta t = \int_a^c f(t) \Delta t + \int_c^b f(t) \Delta t,$$
 +
where $\int$ denotes a [[delta integral]].
  
 
==Proof==
 
==Proof==

Latest revision as of 23:23, 22 August 2016

Theorem

The following formula holds: $$\int_a^b f(t) \Delta t = \int_a^c f(t) \Delta t + \int_c^b f(t) \Delta t,$$ where $\int$ denotes a delta integral.

Proof

References