Important: The student package has been deprecated. Use the superseding commands, Student[Calculus1][Integrand] and Student[Calculus1][Summand], instead.

The integrand and summand commands are used to extract the integrand (summand) from an unevaluated integral (sum) respectively.

If expr is not an unevaluated integral or sum, but contains one or more such integrals (sums), then the set of integrands (summands) is returned.

If several or no integrands (summands) are found the result will be a set.

The command with(student,integrand) allows the use of the abbreviated form of this command.

The command with(student,summand) allows the use of the abbreviated form of this command.

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

$\mathrm{integrand}\left(\mathrm{Int}\left(f\left(x\right)\,x\right)\right)$

$f\left(x\right)$

$\mathrm{summand}\left(\mathrm{Sum}\left(f\left(i\right)\,i=1..n\right)\right)$

$f\left(i\right)$

$\mathrm{integrand}\left(x+y\right)$

$\varnothing$

$\mathrm{summand}\left(\left(\mathrm{Sum}\left(f\left(i\right)\,i=1..m\right)\right)+\left(\mathrm{Sum}\left(f\left(i\right)\,i=m..n\right)\right)\right)$

$f\left(i\right)$

$\mathrm{integrand}\left(\mathrm{Doubleint}\left(f\left(x\,y\right)\,x\,y\right)\right)$

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

$\mathrm{integrand}\left(\mathrm{Doubleint}\left(f\left(x\,y\right)\,x\,y\right)+\mathrm{Int}\left(g\left(x\right)\,x\right)\right)$

$\left\{f\left(x\,y\right)\,g\left(x\right)\right\}$

$\mathrm{summand}\left(\mathrm{Sum}\left(\mathrm{Sum}\left(ij\,i=1..j\right)\,j=1..n\right)\right)$

$ij$