Domain of integration (source code)

= Domain of integration
{title2=$D$}

= Region of integration
{synonym}

The domain of integration is the set $D$ over which an <integral> is taken. For a <multiple integral>, inequalities or parameter ranges specify which points belong to $D$; a <change of variables> transforms both these bounds and the integration element through its <Jacobian determinant>. For example, a polar region $c\leq r\leq1+\cos\phi$ exists only at angles where $1+\cos\phi\geq c$.