[Tex/LaTex] Create a new integral symbol

Question

Is it possible without creating a new font to define a new math symbol (e.g. with \newcommand) and then use it with such commands as \limits, _ and ^ (up and down limits)?

For example, I define it like this:

\usepackage{graphicx}
\newcommand{\bigrint}{\scalebox{1.2}[1] {\rotatebox[origin=c]{15}{$\displaystyle\int$}}}
\newcommand{\rint}[2]{ \substack{\hspace{-4pt} #2 \\ \hspace{-5pt} \bigrint \hspace{-3pt}\\ #1}\hspace{-1pt} }

And I want to use it like \rint_1^2.

Answer 1

\documentclass[a4paper]{article}
\usepackage{graphicx,amsmath}
\newcommand{\bigrint}{%
  \hbox to .2em{\hss\scalebox{1.2}[1] {\rotatebox[origin=c]{15}{$\displaystyle\int$}}\hss}}
\newcommand{\rint}{\mathop{\bigrint}\displaylimits}

\begin{document}
\[\rint_a^b\]
\end{document}