[Tex/LaTex] Line Arrows for Tabular Integration Table

tablestikz-pgf

I've recently reviewed this question to try to make a table for Integration by parts:

I tried using the code sample from it but LaTeX gives me a rendering error with the tikz arrows (and I don't know what it was so I just removed the tikz code entirely); however, it does not when I just use the table. My code is below:

    \documentclass{article}
    \usepackage{gensymb}
    \usepackage{graphicx}
    \usepackage[fleqn]{amsmath}
    \usepackage{amsfonts}
    \usepackage{amssymb}
    \usepackage[usenames,dvipsnames]{color}
    \usepackage{fullpage}
    \usepackage{cancel}
    \usepackage{easylist}
    \usepackage{booktabs}
    \usepackage{xparse}
    \usepackage{graphicx}
    \usepackage{tikz}
    \usepackage{framed} 
    \usepackage{tcolorbox}
    \usepackage[fleqn]{amsmath}
    \usepackage{framed,varwidth}
    \usepackage{enumitem, color, amssymb}
    \providecommand{\e}[1]{\ensuremath{\times 10^{#1}}}
    \begin{document}
    1. $\displaystyle{\int x^6\cdot e^x dx}$ \\
    \newline
    Make a table of u and its derivatives \& dv and its integrals...
   \[\renewcommand{\arraystretch}{1.5}
\begin{array}{c @{\hspace*{1.0cm}} c}\toprule
   D & I \\\cmidrule{1-2}
 x^6\tikzmark{Left 1} & \tikzmark{Right 1}e^x \\
  6x^5\tikzmark{Left 2} & \tikzmark{Right 2}e^x \\
  30x^4 \tikzmark{Left 3} & \tikzmark{Right 3}e^x \\
 120x^3  \tikzmark{Left 4} & \tikzmark{Right 4}e^x \\
 360x^2 \tikzmark{Left 5} & \tikzmark{Right 5} e^x \\
 720x \tikzmark{Left 6} & \tikzmark{Right 6} e^x \\
 720 \tikzmark{Left 7} & \tikzmark{Right 7} e^x \\
 0 \tikzmark{Left 8} & \tikzmark{Right 8} e^x \\\bottomline
\end{array}
\]

\DrawArrow{Left 1}{Right 2}{$+$}
\DrawArrow{Left 2}{Right 3}{$-$}
\DrawArrow{Left 3}{Right 4}{$+$}
\DrawArrow{Left 4}{Right 5}{$-$}
\DrawArrow{Left 5}{Right 6}{$+$}
\DrawArrow{Left 6}{Right 7}{$-$}
\DrawArrow{Left 7}{Right 8}{$+$}
\end{document}

Is there an alternative to the post I linked to make the arrows & the plus or minus signs?

Best Answer

Here is the corrected version of your code:

enter image description here

Changes:

Included the required \tikzmark, \DrawArrow and related macros from the linked question and eliminated the unnecessary packages.
Used enumerate to number it -- am assuming that there may be more.
Added trailing % following the calls to \DrawArrow.
Used \dots instead of ....
Replaced \bottomrule with \bottomline.

References:

Code:

\documentclass{article}
\usepackage{booktabs}
\usepackage{xparse}
\usepackage{tikz}
\usetikzlibrary{calc}
    
\tikzset{Arrow Style/.style={text=black, font=\boldmath}}

\newcommand{\tikzmark}[1]{%
    \tikz[overlay, remember picture, baseline] \node (#1) {};%
}
\newcommand*{\XShift}{0.5em}
\newcommand*{\YShift}{0.5ex}
\NewDocumentCommand{\DrawArrow}{s O{} m m m}{%
    \begin{tikzpicture}[overlay,remember picture]
        \draw[->, thick, Arrow Style, #2] 
                ($(#3.west)+(\XShift,\YShift)$) -- 
                ($(#4.east)+(-\XShift,\YShift)$)
        node [midway,above] {#5};
    \end{tikzpicture}%
}

\begin{document}
\begin{enumerate}
    \item $\displaystyle{\int x^6\cdot e^x dx}$
    
    Make a table of $u$ and its derivatives \& $\mathrm{d}v$ and its integrals\dots
   \[\renewcommand{\arraystretch}{1.5}
    \begin{array}{c @{\hspace*{1.0cm}} c}\toprule
       D & I \\\cmidrule(lr){1-2}
       x^6  \tikzmark{Left 1} & \tikzmark{Right 1} e^x \\
      6x^5  \tikzmark{Left 2} & \tikzmark{Right 2} e^x \\
      30x^4 \tikzmark{Left 3} & \tikzmark{Right 3} e^x \\
     120x^3 \tikzmark{Left 4} & \tikzmark{Right 4} e^x \\
     360x^2 \tikzmark{Left 5} & \tikzmark{Right 5} e^x \\
     720x   \tikzmark{Left 6} & \tikzmark{Right 6} e^x \\
     720    \tikzmark{Left 7} & \tikzmark{Right 7} e^x \\
       0    \tikzmark{Left 8} & \tikzmark{Right 8} e^x \\\bottomrule
    \end{array}%
    \]
    % --------
    \DrawArrow{Left 1}{Right 2}{$+$}% <-- Don't forget there.
    \DrawArrow{Left 2}{Right 3}{$-$}%
    \DrawArrow{Left 3}{Right 4}{$+$}%
    \DrawArrow{Left 4}{Right 5}{$-$}%
    \DrawArrow{Left 5}{Right 6}{$+$}%
    \DrawArrow{Left 6}{Right 7}{$-$}%
    \DrawArrow{Left 7}{Right 8}{$+$}%
\end{enumerate}
\end{document}

Related Solutions

[Tex/LaTex] Tabular with arrows or lines between some cells

Here is a beginning of a solution with tikz matrix enter image description here

\documentclass[11pt]{article}
\usepackage{tikz}
\usetikzlibrary{matrix}


\begin{document}

\begin{tikzpicture}
[every node/.style={minimum height=2em}]
\matrix [matrix of math nodes](Mat)
{
x_i  &|[minimum width=4em]|& P(x_i) &|[minimum width=4em]| Code &       &|[minimum width=4em]|      &       &|[minimum width=4em]|  &   &|[minimum width=4em]|  &   &\\
x_1 &&0.30     &        & 0.30  &   &0.30   &   &0.45&  &0.55&\\
x_2 && 0.25    &        & 0.25  &   &0.25   &   &0.30&  &0.45&\\
x_3 && 0.20   &     & 0.20  &   &0.25   &   &0.25&  &   &\\
x_4 && 0.12    &        &0.13   &   &0.20   &   &   &   &   &\\
x_5 && 0.08    &        &0.12   &   &       &   &   &   &   &\\
x_6 && 0.05    &        &   &   &       &   &   &   &   &\\
};

\draw (Mat-2-3.east) -- (Mat-2-3-|Mat-2-5.west)node[above,midway]{00};
\draw(Mat-5-3.east) --++(1em,0) -- (Mat-6-5.west)node[above,pos=0.2]{101};
\draw (Mat-6-3.east)-|node[above,pos=0.4]{1000}++(2em,-1em) coordinate(aa) --++(1em,0) |- (Mat-5-5.west);
\draw (Mat-7-3.east)-|node[below,pos=0.4]{1001} (aa);
\end{tikzpicture}

\end{document}

[Tex/LaTex] Tabular integration by parts

I assume you are asking about the tabular method of integration by parts, and one way would be to use tikzmark to note the location of the points and the after the table draw the arrows between the appropriate points: