Calculate the integral dS, where is the surface of the half ball x^2 + y^2 +z^2 is less than or equal to1, z is greater than or equal to 0 and
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As a matter of clarity, are you computing ?
If so, what have you done so far?
And, if so, is the surface to be oriented with upward or downward normals?
Reply to HallsofIvy at Post # 3:
Usually, in problems like this, the normal to the surface is oriented outward. That makes it unambiguous in most cases.
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