Use a parametrization to express the area of the surface s as a double integral. then, evaluate the integral to find the area of the surface. s is the portion of the plane y + 3 z = 2 inside the cylinder x^2 + y^2 = 1.

The cylinder gives you a hint as to where to start with a parameterization . A sensible choice would be to set




so that



with and . Then



so the surface element is



So the area of the surface is

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