Important: The student package has been deprecated. Use the superseding command Student[Calculus1][RiemannSum] instead.

The function middlebox will generate a plot of rectangular boxes used to approximate a definite integral.  The height of each rectangle (box) is determined by the value of the function at the centre of each interval.

Four intervals are used by default.

The value of the corresponding numerical approximation can be obtained by the Maple procedure middlesum.

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

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

$\mathrm{middlebox}\left(x^4\ln \left(x\right)\,x=2..4\,\mathrm{color}=\mathrm{YELLOW}\right)$

$\mathrm{middlebox}\left(\sin \left(x\right)x+\sin \left(x\right)\,x=0..2\mathrm{\pi }\,5\,\mathrm{shading}=\mathrm{BLUE}\right)$

$\mathrm{middlebox}\left(\sin \left(x\right)x+\sin \left(x\right)\,x=0..2\mathrm{\pi }\,5\,\mathrm{color}=\mathrm{GREEN}\right)$