The GetIntegrand command extracts the integrand from a definite or indefinite integral.

The GetRange command extracts the range(s) from a definite integral.

The GetVariable command extracts the variable(s) of integration from a definite or indefinite integral.

The GetOptions command extracts any optional arguments from a definite integral.

The GetParts command extracts all of the above parts as a list [Integrand, [Variable(s)], [Range(s)], [Option(s)]].

$\mathrm{with}\left(\mathrm{IntegrationTools}\right)\:$

$v≔\mathrm{Int}\left(f\left(x^2\right)\,x=a..b\right)$

$v≔{\int }_a^{b}f\left(x^2\right)\ⅆx$

$\mathrm{GetIntegrand}\left(v\right)$

$f\left(x^2\right)$

$\mathrm{GetRange}\left(v\right)$

$a..b$

$\mathrm{GetVariable}\left(v\right)$

$x$

$v≔\mathrm{Int}\left(f\left(x^2\right)\,x\right)$

$v≔\int f\left(x^2\right)\ⅆx$

$\mathrm{GetIntegrand}\left(v\right)$

$f\left(x^2\right)$

$\mathrm{GetVariable}\left(v\right)$

$x$

$\mathrm{GetRange}\left(v\right)$

$\mathrm{GetParts}\left(v\right)$

$\left[f\left(x^2\right)\,\left[x\right]\,\left[\right]\,\left[\right]\right]$

$w≔\mathrm{Int}\left(\mathrm{Int}\left(f\left(x\,y\right)\,x=a..b\right)\,y=c..d\right)$

$w≔{\int }_c^d\left({\int }_a^{b}f\left(x\,y\right)\ⅆx\right)\ⅆy$

$\mathrm{GetIntegrand}\left(w\right)$

${\int }_a^{b}f\left(x\,y\right)\ⅆx$

$\mathrm{GetVariable}\left(w\right)$

$y$

$\mathrm{GetParts}\left(w\right)$

$\left[{\int }_a^{b}f\left(x\,y\right)\ⅆx\,\left[y\right]\,\left[c..d\right]\,\left[\right]\right]$

$\mathrm{ww}≔\mathrm{Int}\left(f\left(x\,y\right)\,\left[x=a..b\,y=c..d\right]\right)$

$\mathrm{ww}≔{\int }_c^d{\int }_a^{b}f\left(x\,y\right)\ⅆx\ⅆy$

$\mathrm{GetIntegrand}\left(\mathrm{ww}\right)$

$f\left(x\,y\right)$

$\mathrm{GetVariable}\left(\mathrm{ww}\right)$

$x,y$

$\mathrm{GetParts}\left(\mathrm{ww}\right)$

$\left[f\left(x\,y\right)\,\left[x\,y\right]\,\left[a..b\,c..d\right]\,\left[\right]\right]$

$\mathrm{GetVariable}\left(\sin \left(x\right)\right)$

Error, invalid input: IntegrationTools:-GetVariable expects its 1st argument, v, to be of type Integral, but received sin(x)

$\mathrm{GetOptions}\left(\mathrm{Int}\left(f\left(x\right)\,x=0..1\,'\mathrm{continuous}'\right)\right)$

$\mathrm{continuous}$