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Student[Calculus1][AntiderivativePlot] - find the antiderivative(s) of an expression
Calling Sequence
AntiderivativePlot(f(x), x, opts)
AntiderivativePlot(f(x), x = a..b, opts)
AntiderivativePlot(f(x), a..b, opts)
Parameters
f(x)
-
algebraic expression in variable 'x'
x
name; specify the independent variable
a, b
algebraic expressions; specify the plot range
opts
plotting options or equation(s) of the form option=value where option is one of antiderivativeoptions, classoptions, functionoptions, output, showantiderivative, showclass, showfunction, value, or Student plot options; specify options for the plot
Description
The AntiderivativePlot(f(x), x=a..b) command plots the expression and a primary antiderivative.
If no range is provided, the range is used.
As well as plotting one antiderivative, a class of antiderivatives can be viewed by using the showclass option.
If the independent variable can be uniquely determined from the expression, the parameter x need not be included in the calling sequence.
The opts argument can contain any of the Student plot options or any of the following equations that set plot options.
antiderivativeoptions = list
A list of options for the plot of the primary antiderivative of the expression . By default, the primary antiderivative is plotted as a solid blue line. For more information on plot options, see plot/options.
classoptions = list
A list of options for the plot of a class of antiderivatives of the expression . By default, each antiderivative is plotted as a solid green line. For more information on plot options, see plot/options.
functionoptions = list
A list of options for the plot of the expression . By default, the expression is plotted as a solid red line. For more information on plot options, see plot/options.
output = antiderivative, or plot
This option controls the return value of the function.
* output = antiderivative specifies that the primary antiderivative is returned. Other options are ignored if output = antiderivative (except value).
* output = plot specifies that the output should be a plot of the function and its antiderivative(s). This is the default.
showantiderivative = true or false
Whether the primary antiderivative of is plotted. By default, the value is true.
showclass = true or false
Whether a class of functions, each of which is a valid antiderivative of , is plotted. By default, the value is false.
showfunction = true or false
Whether the expression is plotted. By default, the value is true.
value = algebraic, Vector or list
Determines the primary antiderivative. By default, the primary antiderivative plotted is the one whose value at the left end point is .
An algebraic value for this option specifies the value of the primary antiderivative at the left end point of the range.
A two-dimensional Vector or list with two values specifies the value of the primary antiderivative at a point. The second value specifies the value of the primary antiderivative evaluated at the first value. That is, and specify that for some constant , where is an antiderivative of f(x). The primary antiderivative is .
view = [DEFAULT or numeric..numeric, DEFAULT or numeric..numeric]
The view of the final plot.
caption = anything
A caption for the plot.
The default caption is constructed from the parameters and the command options. caption = "" disables the default caption. For more information about specifying a caption , see plot/typesetting.
Examples
The command to create the plot from the Plotting Guide is
See Also
plot/options, plot/typesetting, Student, Student plot options, Student[Calculus1], Student[Calculus1][AntiderivativeTutor], Student[Calculus1][VisualizationOverview]
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