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If you want to compute the surface area bounded by the upper hemisphere and the paraboloid, do you have to split the integral into two different surface integrals ?

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  • $\begingroup$ Hi and welcome to the Math.SE. What is precisely the problem you are dealing with? I mean: do you want a suggestion on how to proceed for the calculation of the integral shown in the picture attached to your post? Anyway, be careful when you pose a question, and always provide context in order to help other users help you. $\endgroup$ – Daniele Tampieri Dec 3 '18 at 21:00
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Yes, as the upper and bottom surfaces have different equations, they have different parametrizations, and therefore the integrals to compute the surface areas have different domains.

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