The surface integral \int \:\:\:\int ↙\stackrel{\:}{s}F.ndS over the surface S of the sphere x 2 + y 2 + z 2 = 9, where F = (x + y)i + (x + z) j + (y + z) k and n is the unit outward surface normal, yields ________.

GATE Mechanical Engineering (ME) 2017 Shift 2 Solved Paper

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The surface integral

∫ \:\:\:∫ ↙{s}↖{\:}F.ndS

over the surface S of the sphere x² + y² + z² = 9, where F = (x + y)i + (x + z) j + (y + z) k and n is the unit outward surface normal, yields ________.

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