Definition:Int

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In the DRMF, the LaTeX semantic macro \Int represents the definite integral notation, which is defined as follows.

This macro is in the category of polynomials.

In math mode, this macro can be called in the following ways:

\Int{a}{b} produces ${\displaystyle{\displaystyle{\displaystyle\int_{a}^{b}}}}$

\Int{a}{b}@{x}{f(x)} produces ${\displaystyle{\displaystyle{\displaystyle\int_{a}^{b}{f(x)}\,{\mathrm{d}}x}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle J^{(1)}_{\nu}\!\left(z;q\right):=\frac{\left(q^{\nu+1};q\right)_{\infty}}{\left(q;q\right)_{\infty}}\left(\frac{z}{2}\right)^{\nu}\,\qHyperrphis{2}{1}@@{0,0}{q^{\nu+1}}{q}{-\frac{z^{2}}{4}}.}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle\int_{a}^{b}f(x){\mathrm{d}}\!x}}}$ : semantic definite integral : http://drmf.wmflabs.org/wiki/Definition:Int
${\displaystyle{\displaystyle{\displaystyle J^{(1)}_{q}}}}$ : Jackson ${\displaystyle{\displaystyle{\displaystyle q}}}$-Bessel function 1 : http://drmf.wmflabs.org/wiki/Definition:JacksonqBesselI
${\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1
${\displaystyle{\displaystyle{\displaystyle{{}_{r}\phi_{s}}}}}$ : basic hypergeometric (or ${\displaystyle{\displaystyle{\displaystyle q}}}$-hypergeometric) function : http://dlmf.nist.gov/17.4#E1

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