calculus_IV_lab

Problem

Find Underscript[∫∫∫, R] x^3 (x^2 + y^2)^(1/2) V , where R is the region defined by $R = {(r, θ, z} 0≤u≤1, 2≤v≤u^2 + 3, 0≤z≤u v}$ in ParabolicCylindrical coordinates. Graph the region of integration.

Created by Mathematica (October 18, 2004)