Important: The student package has been deprecated. Use the superseding command Student[VectorCalculus][int] instead.

This function corresponds to the integral of f with respect to x. It is an ``unevaluated'' form of Maple's int function, so only minor simplifications are performed. Such unevaluated expressions can be manipulated by routines in the student package such as changevar (change of variables), intparts (integration by parts), and expand. Partial fraction decomposition of integrals is available through convert(..., parfrac).

For definite integration, the range of integration (x = $a..b$) must be indicated.  For indefinite integration, omit the third parameter to Int.

Use value to force Int to evaluate like int.

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

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

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

$\int f\left(x\right)\ⅆx$

$\mathrm{Int}\left(fg\,x=1..n\right)$

${\int }_1^{n}fg\ⅆx$