How to create a table with equally-spaced rows?

Question

Several years ago I succeeded to create a table below. But now I forgot. Maybe I used a \rule with zero width. Is there another smart method to accomplish this mission? I used longtable to make the table automatically span across pages, but any kind of table is welcome.

Requirements:

• 3 columns.
• 4 equally-spaced rows occupying \textheight.
• support displayed math contents such as \[ or \equation.
• the table spans across pages automatically.

as follows:

Answer 1

\documentclass[draft]{article} 
\usepackage{tabularx}
\renewcommand\tabularxcolumn[1]{m{#1}}
\def\xstrut{\rule[-0.125\textheight]{0pt}{\dimexpr0.25\textheight-0.5pt}}
\begin{document} 

\noindent
\begin{tabularx}{\linewidth}{|>{\xstrut}l|X|X|}\hline
1 & \[ \int_1^\infty \frac1x \mathrm{d}x \] & 2 \\\hline
2 & \[ \int_1^\infty \frac1x \mathrm{d}x \] & 2 \\\hline
3 & \[ \int_1^\infty \frac1x \mathrm{d}x \] & 2 \\\hline
4 & \[ \int_1^\infty \frac1x \mathrm{d}x \] & 2 \\\hline
\end{tabularx}

\end{document}