# What kind of integral is this?

can anyone tell me what kind of package or what to type for getting an integral like this on the image, where the \frac{happines}{time} is below death? All the integrals I can find will push the frac to after death.

• So.. the older one gets the less happiness contributes to one's life? – jan-glx Oct 5 '17 at 15:59

With the help of the bigints package (cf. Big integral sign), and some negative space, using Steven's code as a starting point.

\documentclass{article}
\usepackage{bigints}
\begin{document}
$\mathit{Life} = \hspace{-0.8em} \bigint_{\mathit{birth}}^{\mathit{death}}\hspace{-2.5em}\frac{\mathit{happiness}}{\mathit{time}} \Delta \mathit{time}$
\end{document}


Using bigints is a good start. Negative kerning is then needed around the equality and before the fraction.

\documentclass{article}

\usepackage[osf]{Baskervaldx} % tosf in text, tlf in math
\usepackage{bigints}

\begin{document}

\begin{displaymath}
\textit{Life} \mkern-2mu = \mkern-18mu
\bigints_{\textit{birth}}^{\textit{death}} \mkern-42mu
\frac{\textit{happiness}}{\textit{time}} \,\Delta \textit{time}
\end{displaymath}

\end{document}


Here's a start.

\documentclass{article}
\begin{document}
$\mathit{Life} = \int_\mathit{birth}^\mathit{death}\frac{\mathit{happiness}}{\mathit{time}} \Delta \mathit{time}$
\end{document}


More refined:

\documentclass{article}
\usepackage{scalerel,mathtools}
\begin{document}
$\mathit{Life} {\,=} \!\!\!\!\vcenter{\hbox{% \displaystyle{\scaleto[2em]{\int}{60pt}}_{% \mkern-27mu\mathit{birth}}^{\mathit{death}}}}\mkern-44mu% \frac{\mathit{happiness}}{\mathit{time}}\,\Delta\,\mathit{time}$
\end{document}


• I think the OP wanted to push the fraction to the left, and increase the height of the integral, so that the fraction is actually below the upper limit (death). – Torbjørn T. Apr 7 '17 at 10:57
• @TorbjørnT. yes that is exactly what i'm looking for. – Hogfeldt Apr 7 '17 at 10:58
• @Hogfeldt Please see refinement – Steven B. Segletes Apr 7 '17 at 11:02
• @TorbjørnT. But of course.... The final brushstrokes were still being applied. – Steven B. Segletes Apr 7 '17 at 11:03

Here's a solution that uses the mtpro2 package and its \XXL\int construct.

% !TeX program = pdflatex
\documentclass{article}
\usepackage{mathtools,newtxtext}
\usepackage[lite]{mtpro2}
\begin{document}
$\textit{\Large Life}=\XXL\int_{\mathrlap{\textit{birth}}}^{\mathrlap{\textit{death}}} \mkern-15mu\frac{\textit{happiness}}{\textit{time}}\Delta\textit{time}$
\end{document}