Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.4 Surface Integrals, #35 · Multivariable Calculus · Green, Stokes & divergence

The points … are on the surface of revolution: … revolved around…

The points $(x, f (x) cos θ, f (x) sin θ)$ are on the surface of revolution: $y = f (x)$ revolved around the $x$ axis, parameters $u = x$ and $v = θ$ . Find $N$ and compare $d S = ∣ N ∣ d x d θ$ with Example 8 and Section 8.3.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.4 Surface Integrals, #35

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