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Multivariable & Vectorhard
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Set up the triple integral in spherical coordinates for computing the volume of the solid region defined by 1≤x2+y2+z2≤41 \le x^2 + y^2 + z^2 \le 41≤x2+y2+z2≤4 and z≥0z \ge 0z≥0 (upper hemisphere of a spherical shell). Which integral is correct?