Change of Integration Variables

For a Multiple Integral with input variables $x,y$ where $x=g(u,v)$, $y=h(u,v)$ $\int \int f(x,y)dxdy=\int \int f(g(u,v),h(u,b))|\frac{d(x,y)}{d(u,v)}|dudv$ where: $|\frac{d(x,y)}{d(u,v)}|$ is the Absolute Value of the determinant of the Jacobian Matrix.