student(deprecated)/middlebox - Maple Help

student

 middlebox
 graph an approximation to an integral

 Calling Sequence middlebox(f(x), x=a..b, ) middlebox(f(x), x=a..b, n, 'shading'=, )

Parameters

 f(x) - algebraic expression in x x - variable of integration a - left bound of integration b - right bound of integration n - (optional) indicates the number of rectangles to use color - indicates the color used to shade the rectangles plot options - (optional) additional plot options, see ?plot,options

Description

 • 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.

Examples

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

 > $\mathrm{with}\left(\mathrm{student}\right):$
 > $\mathrm{middlebox}\left({x}^{4}\mathrm{ln}\left(x\right),x=2..4,\mathrm{color}=\mathrm{YELLOW}\right)$
 > $\mathrm{middlebox}\left(\mathrm{sin}\left(x\right)x+\mathrm{sin}\left(x\right),x=0..2\mathrm{\pi },5,\mathrm{shading}=\mathrm{BLUE}\right)$
 > $\mathrm{middlebox}\left(\mathrm{sin}\left(x\right)x+\mathrm{sin}\left(x\right),x=0..2\mathrm{\pi },5,\mathrm{color}=\mathrm{GREEN}\right)$