Delta integral of nonnegative function
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Revision as of 23:32, 22 August 2016 by Tom (talk | contribs) (Created page with "==Theorem== If $f(t) \geq 0$ for all $a \leq t < b$ then $$\displaystyle\int_a^b f(t) \Delta t \geq 0,$$ where $\int$ denotes the delta integral. ==Proof== ==References...")
Theorem
If $f(t) \geq 0$ for all $a \leq t < b$ then $$\displaystyle\int_a^b f(t) \Delta t \geq 0,$$ where $\int$ denotes the delta integral.