I know the integral calculus for commuting variables (which is just normal calculus).
And there is an Grassman integral calculus for anti-commuting variables. (Variables where $\theta_1 \theta_2 = - \theta_2\theta_1$ ).
Is there a calculus for general variables that in general satisfy:
$$x y\neq y x$$
Perhaps it would be a calculus of matrices where $x$ and $y$ are general matrices?