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.
