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Let F be a vector field given by F = (cos(XYZ)y^3, sin(z)+x^3, sin(XYZ)). Find the integral of F.dS of the lower hemisphere defined by x^2+y^2+z^2

Let F be a vector field given by F = (cos(XYZ)y^3, sin(z)+x^3, sin(XYZ)). Find the integral of F.dS of the lower hemisphere defined by x^2+y^2+z^2 = 1 and z 0

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