The int(M) function computes the element-wise integral of M.  The result, R, is formed as R[i,j] = int(M[i,j], v, a, b).

F = int(f) is the indefinite integral of the scalar f.  If f is a constant, the variable of integration is x.

int(f,v) is the indefinite integral of the scalar f with respect to v.

int(f,a,b) is the definite integral of the scalar f on the interval [a,b].

int(f,v,a,b) is the definite integral of the scalar f on the interval [a,b] with respect to v.

$\mathrm{with}\left(\mathrm{MTM}\right)\:$

$M≔\mathrm{Matrix}\left(2\,3\,'\mathrm{fill}'=\exp \left(x\right)+3x^2+5\right)\:$

$\mathrm{int}\left(M\right)$

$\left[\begin{array}{ccc}{x}^3+5x+{\ⅇ}^x& x^3+5x+{\ⅇ}^x& x^3+5x+{\ⅇ}^x\\ x^3+5x+{\ⅇ}^x& x^3+5x+{\ⅇ}^x& x^3+5x+{\ⅇ}^x\end{array}\right]$