MathCastle
Multivariable CalculusEasyTriple Integrals & Coordinate Systems

Triple Integrals & Coordinate Systems · Easy problem

Evaluate the cylindrical-coordinate integral ∫0π/2 ⁣∫02 ⁣∫04z r dz dr dθ\displaystyle\int_0^{\pi/2}\!\int_0^{2}\!\int_0^{4} z\,r\,dz\,dr\,d\theta. Give your answer in terms of π\pi.