# Awkward spacing for integral in exponent

by ryanyz10   Last Updated January 20, 2018 01:23 AM

I'm trying to put an integral in an exponent with the following LaTeX:

\begin{align*}
e^{G(t)} &= e^{\int{\frac{t}{1+t^2}dt}} \\
&= e^{\frac{1}{2}\ln(1+t^2)} \\
&= \sqrt{1 + t^2}
\end{align*}


however, the result is this:

the spacing between the integral and the fraction looks very awkward. I looked into display mode, but that just makes the integral abnormally large. Is there anyway to get rid of that spacing?

Tags :

Some alternatives:

\documentclass{article}
\usepackage{amsmath}

\begin{document}

\begin{align*}
e^{G(t)} &= e^{\int\frac{t}{1+t^2}dt} \\ % original
e^{G(t)} &= e^{\int\!\frac{t}{1+t^2}\,dt} \\
e^{G(t)} &= \exp\Bigl(\int\frac{t}{1+t^2}\,dt\Bigr) \\
e^{G(t)} &= \exp\bigl({\textstyle\int\frac{t}{1+t^2}\,dt}\bigr) \\
&= e^{\frac{1}{2}\ln(1+t^2)} \\
&= \sqrt{1 + t^2}
\end{align*}

\end{document}


egreg
January 20, 2018 00:52 AM

Does this befit you?

\documentclass{article}
\usepackage{mathtools, graphicx}

\begin{document}

\begin{align*}
e^{G(t)} &= e^{\int{\mkern-7mu\frac{t}{1+t^{ \scalebox{0.8}{$\scriptscriptstyle2$}}} dt}} \\
&= e^{\frac{1}{2}\ln(1+t^2)} \\
&= \sqrt{1 + t^2}
\end{align*}

\end{document}


Bernard
January 20, 2018 01:05 AM