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如何使用 PSTricks 绘制此积分函数？

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如何使用 PSTricks 绘制此积分函数？

我必须绘制类似的东西（我必须整合的函数比这更复杂） 功能

我该怎么做？我需要哪个 pst 包？

谢谢！

答案1

pgfplots以下是与包结合使用的方法sagetex（用于处理 percussse 提到的必要计算）。计算由计算机代数系统执行，智者，其中积分由 f(t1) =integrate(x^2,x,t1,3) 计算，然后绘图的 y 坐标由 y1_coords = [(f(t1)).n(digits=6) for t1 in x1_coords] 确定。这是基于这个答案来自 AskSagemath。鉴于这是一个老答案，也许现在有更好的方法？

\documentclass{standalone}
\usepackage[usenames,dvipsnames]{xcolor}
\usepackage{pgfplots}
\usepackage{sagetex}
\usetikzlibrary{backgrounds}
\usetikzlibrary{decorations}
\pgfplotsset{compat=newest}% use newest version
\begin{document}
\begin{sagesilent}
####### SCREEN SETUP #####################
LowerX = -3.0
UpperX = 3.0
LowerY = -2.0
UpperY = 20.0
step = .01
Scale = 1.0
xscale=1.0
yscale=1.0
#####################TIKZ PICTURE SET UP ###########
output = r""
output += r"\begin{tikzpicture}"
output += r"[line cap=round,line join=round,x=8.75cm,y=8cm]"
output += r"\begin{axis}["
output += r"grid = none,"
#Change "both" to "none" in above line to remove graph paper
output += r"minor tick num=4,"
output += r"every major grid/.style={Red!30, opacity=1.0},"
output += r"every minor grid/.style={ForestGreen!30, opacity=1.0},"
output += r"height= %f\textwidth,"%(yscale)
output += r"width = %f\textwidth,"%(xscale)
output += r"thick,"
output += r"black,"
output += r"axis lines=center,"
#Comment out above line to have graph in a boxed frame (no axes)
output += r"domain=%f:%f,"%(LowerX,UpperX)
output += r"line join=bevel,"
output += r"xmin=%f,xmax=%f,ymin= %f,ymax=%f,"%(LowerX,UpperX,LowerY, UpperY)
#output += r"xticklabels=\empty,"
#output += r"yticklabels=\empty,"
output += r"major tick length=5pt,"
output += r"minor tick length=0pt,"
output += r"major x tick style={black,very thick},"
output += r"major y tick style={black,very thick},"
output += r"minor x tick style={black,thin},"
output += r"minor y tick style={black,thin},"
#output += r"xtick=\empty,"
#output += r"ytick=\empty"
output += r"]"
##############FUNCTIONS#################################
t1 =  var('t1')
f(t1) = integrate(x^2,x,t1,3)
lambda t1: f(t1), (t1,-3,3)
x1_coords = srange(LowerX,UpperX,step)
y1_coords = [(f(t1)).n(digits=6) for t1 in x1_coords]
output += r"\addplot[thin, NavyBlue, unbounded coords=jump] coordinates {"
for i in range(0,len(x1_coords)):
    if (y1_coords[i])<LowerY or (y1_coords[i])>UpperY:
        output += r"(%f,inf) "%(x1_coords[i])
    else:
        output += r"(%f,%f) "%(x1_coords[i],y1_coords[i])
output += r"};"
output += r"\addlegendentry{$f(x)$}"
##### COMMENT OUT A LINE OF SAGESILENT BY STARTING WITH #
output += r"\end{axis}"
output += r"\end{tikzpicture}"
\end{sagesilent}
\sagestr{output}
\end{document}

在 Sagemath Cloud 中运行后输出如下： 在此处输入图片描述 请注意，要使用该sagetex软件包，您需要在计算机上安装 Sage 或获取免费帐户萨基马云。

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