Let $\mathbf{A}=\begin{bmatrix} f(x_1,x_1), & \ldots,& f(x_1,x_n)\\ \vdots&\ddots& \vdots \\f(x_n,x_1),&\ldots, &f(x_n,x_n) \end{bmatrix} $, where $f:\mathbb{R}\times\mathbb{R}\rightarrow \mathbb{R}$. I want to calculate $\int \mathbf{A}\mathrm{d}\mathbf{x}$, where $\mathbf{x}=\begin{bmatrix}x_1\\ \vdots\\x_n \end{bmatrix}$.
It would be nice if you can show some references.
Thanks :)