For single letter in the left superscript, you can use \prescript and \mathrlap from mathtools package. For multi characters, try leftindex package.
\documentclass{article}
\usepackage{mathtools} % can be deleted since leftindex preloads mathtools
\usepackage{fixdif} % for \d
\usepackage{leftindex}
\begin{document}
\[
\prescript{\mathrlap{\gamma}}{}{\int} f \d x \quad
\prescript{\partial V}{}{\int} f \d x \quad
\leftindex^{\partial V} {\int} f \d x \quad
\leftindex^\gamma {\int} f \d x \quad
\leftindex^{\alpha\beta\gamma\partial V} {\int} f \d x
\]
\end{document}

For more information about left and right scripts, have a look at this post Left and right subscript / superscript
\sidesetfrom amsmath, but it is a bit strange notation. – mickep Jan 28 '24 at 13:41