find the antiderivative(s) of an expression
AntiderivativePlot(f(x), x, opts)
AntiderivativePlot(f(x), x = a..b, opts)
AntiderivativePlot(f(x), a..b, opts)
algebraic expression in variable 'x'
name; specify the independent variable
algebraic expressions; specify the plot range
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
The AntiderivativePlot(f(x), x=a..b) command plots the expression and a primary antiderivative.
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 f⁡x. 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 f⁡x. 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 f⁡x. 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 f⁡x 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 f⁡x, is plotted. By default, the value is false.
showfunction = true or false
Whether the expression f⁡x 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 0.
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, a,b and a,b specify that b=F⁡a+c for some constant c, where F⁡x is an antiderivative of f(x). The primary antiderivative is F⁡x+c.
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.
f ≔ x→3⁢x2−x
The command to create the plot from the Plotting Guide is
Student plot options
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