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Multivariable CalculusEasyTriple Integrals & Coordinate Systems

Triple Integrals & Coordinate Systems · Easy problem

Evaluate the cylindrical-coordinate integral ∫02π ⁣∫01 ⁣∫02r dz dr dθ\displaystyle\int_0^{2\pi}\!\int_0^1\!\int_0^2 r\,dz\,dr\,d\theta. Give your answer in terms of π\pi.