What kind of integral is this?

Question

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 05 '17 at 15:59

score 21 · Accepted Answer · edited Apr 13 '17 at 12:35

21

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}

edited Apr 13 '17 at 12:35

Community

1

answered Apr 07 '17 at 11:00

Torbjørn T.

206,688

score 21 · Answer 2 · answered Apr 07 '17 at 11:09

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[baskervaldx,vvarbb]{newtxmath}
\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}

Steven B. Segletes · Answer 3 · 2017-04-07T11:39:11.300

13

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}

edited Apr 07 '17 at 11:39

answered Apr 07 '17 at 10:53

Steven B. Segletes

237,551

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 07 '17 at 10:57
@TorbjørnT. yes that is exactly what i'm looking for. – Hogfeldt Apr 07 '17 at 10:58
@Hogfeldt Please see refinement – Steven B. Segletes Apr 07 '17 at 11:02
@TorbjørnT. But of course.... The final brushstrokes were still being applied. – Steven B. Segletes Apr 07 '17 at 11:03

score 7 · Answer 4 · answered Apr 07 '17 at 11:35

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}

What kind of integral is this?

4 Answers4