Convert Cylindrical to rectangular coordinates Set up an integral in rectangular coordinates equivalent to the integral
\int_0^((\pi )/(2)) \int_1^(\sqrt(3)) \int_1^(\sqrt(4-r^(2))) r^(3)(sin\theta cos\theta )z^(2)dzdrd\theta
Arrange the order of integration to be
z
first, then
y
, then
x
.