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Integrate the function ((x^2+y^2)^{frac{1}{5}}) over the region E that is bounded by the xy plane below and above by the paraboloid 5âx2ây2 using cylindrical coordinates.
â«â«â«E(x2+y2)15dV=â«ABâ«CDâ«EFG(z,r,θ) dzdrdθ
where A= , B= , C= , D= ,E= , F= and G(z,r,θ)= .The value of the integral is â«â«â«E(x2+y2)15dV=
Use cylindrical coordinates to evaluate the triple integral ???E (x^2+y^2)^0.5 dV, where E is the solid bounded by the circular paraboloid z=4?16(x2+y2) and the xy -plane.