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student[rightbox] - graph an approximation to an integral
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Calling Sequence
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rightbox(f(x), x=a..b, <plot options>)
rightbox(f(x), x=a..b, n, 'shading'=<color>, <plot options>)
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Parameters
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f(x)
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algebraic expression in x
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x
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variable of integration
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a
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lower bound of range of integration
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b
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upper bound of range of integration
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n
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(optional) indicates the number of rectangles to use
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color
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indicates the color used to shade the rectangles
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plot options
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(optional) additional plot options, see ?plot,options
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Description
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The function rightbox 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 right side of each interval.
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Four equal-sized intervals are used by default.
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The value of the corresponding numerical approximation can be obtained by the Maple procedure rightsum.
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The command with(student,rightbox) allows the use of the abbreviated form of this command.
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See Also
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plot[options], Student, student(deprecated)[leftbox], student(deprecated)[leftsum], student(deprecated)[middlebox], student(deprecated)[middlesum], student(deprecated)[rightsum], student(deprecated)[simpson], student(deprecated)[trapezoid], Student[Calculus1][RiemannSum], Student[Calculus1][RightRiemannSum]
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