Triple integrals in Cylindrical coordinates

This applet helps to visualize simple solids \(E\) in cylindrical coordinates of the following form:

• \( \alpha \leq \theta \leq \beta \)
• \( r_1(\theta) \leq r \leq r_2(\theta) \)
• \( u_1(r,\theta) \leq z \leq u_2(r,\theta) \)

So \( \theta \) is independent, \( r \) possibly depends on \( \theta \) and \( z \) possibly depends on both \(r,\theta \). Enter the corresponding bounds in the boxes, enter \(\theta \) as \( t \), and use the buttons to see the projection on the $x,y$-plane.