Student[Calculus1][AntiderivativePlot] - find the antiderivative(s) of an expression
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Calling Sequence
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AntiderivativePlot(f(x), x, opts)
AntiderivativePlot(f(x), x = a..b, opts)
AntiderivativePlot(f(x), a..b, opts)
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Parameters
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f(x)
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algebraic expression in variable 'x'
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x
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name; specify the independent variable
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a, b
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algebraic expressions; specify the plot range
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opts
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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
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Description
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The AntiderivativePlot(f(x), x=a..b) command plots the expression and a primary antiderivative.
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If no range is provided, the range is used.
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As well as plotting one antiderivative, a class of antiderivatives can be viewed by using the showclass option.
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If the independent variable can be uniquely determined from the expression, the parameter x need not be included in the calling sequence.
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The opts argument can contain any of the Student plot options or any of the following equations that set plot options.
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antiderivativeoptions = list
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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.
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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.
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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.
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output = antiderivative, or plot
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This option controls the return value of the function.
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* output = antiderivative specifies that the primary antiderivative is returned. Other options are ignored if output = antiderivative (except value).
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* output = plot specifies that the output should be a plot of the function and its antiderivative(s). This is the default.
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showantiderivative = true or false
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Whether the primary antiderivative of is plotted. By default, the value is true.
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showclass = true or false
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Whether a class of functions, each of which is a valid antiderivative of , is plotted. By default, the value is false.
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showfunction = true or false
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Whether the expression is plotted. By default, the value is true.
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value = algebraic, Vector or list
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Determines the primary antiderivative. By default, the primary antiderivative plotted is the one whose value at the left end point is .
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An algebraic value for this option specifies the value of the primary antiderivative at the left end point of the range.
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view = [DEFAULT or numeric..numeric, DEFAULT or numeric..numeric]
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The view of the final plot.
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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.
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Examples
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The command to create the plot from the Plotting Guide is
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