PX153 - I8 - summary of multidimensional integrals

I = ∭ f (x, y, z) d x d y d z

I = \iint f (x, y) d x d y

general form:
- 2D:
$I = \iint_{d o m a i n} f (\vec{r}) d A$ where, $d A = d x d y$ or $d θ d r$
- 3D:
$I = ∭_{d o m a i n} f (\vec{r}) d V$ where, $d V = d x d y d z$ or $r^{2} \sin θ d θ d ϕ d r$ or $r d θ d r d z$