# Substitution rule for vectorial functions

You remember the substitution rule (or Change of variables theorem), when the integrand is some real function of real variable.

I would like to know if that rule has a version when the integrand is some vectorial function (of real variable).

HallsofIvy
$$\int (2(x-1)^2\vec{i}+ cos(x)sin(x)\vec{j}+ (2x+3)^2\vec{k})dx$$