Problem

Find Underscript[∫, Overscript[c, ]]u^3(v^2 + z^2)^(1/2)ds, where Overscript[c, ]is the curve {t^2,Sin[t],Cos[t]}, 0≤t≤π, where both the curve and the function are in ParabolicCylindrical coordinates.  Graph the curve.  Work the problem twice, once in Parabolic Cylindrical coordinates and once by converting everything to Cartesian.  Should the answers be the same?  (Use NIntegrate to evaulate the integral.)

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