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I am learning the concept of Riemann Integral.

$F(x) \text{ sometimes denoted as} \int_a^xfd\alpha$.

What I know is $\alpha$ is a function which maps $x\mapsto\Bbb R$(Is this domain and codomain correct?)

But I want to know with which term we call this $\alpha$

snapper
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  • A dummy variable? http://mathworld.wolfram.com/DummyVariable.html – Kaj Hansen May 24 '17 at 02:08
  • But isn't it a function? So it might be.. dummy function? This sounds little bit weired to me – snapper May 24 '17 at 02:09
  • See my answer. ${}$ – MPW May 24 '17 at 02:14
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    With the standard Riemann integral, you can think of it as the identity function, but can be something other than the identity function with a generalization of Riemann integral called the Riemann-Stieltjes integral. https://en.wikipedia.org/wiki/Riemann%E2%80%93Stieltjes_integral – Kaj Hansen May 24 '17 at 02:15

1 Answers1

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If this is a Riemann-Stieltjes integral, then $\alpha$ is called the integrator.

MPW
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