Consider the upper half of the astroid described by x° +y where a>0 and x sa. Find the area of the surface generated when this curve is revolved about the x-axis. Use symmetry. Note that the function...

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Extracted text: Consider the upper half of the astroid described by x° +y where a>0 and x sa. Find the area of the surface generated when this curve is revolved about the x-axis. Use symmetry. Note that the function describing the curve is not differentiable at 0. However, the surface area integral can be evaluated using methods that are known. S= (Type an exact answer in terms of x.)