Consider the the upper hemisphere Sr+​:={(x,y,z)∈R3:∣x∣=r,x3​>0} with the Radius r>0 Calculate the following integral ∫S

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Consider The The Upper Hemisphere Sr X Y Z R3 X R X3 0 With The Radius R 0 Calculate The Following Integral S 1 (41.48 KiB) Viewed 37 times

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Consider the the upper hemisphere Sr+​:={(x,y,z)∈R3:∣x∣=r,x3​>0} with the Radius r>0 Calculate the following integral ∫Sr+​​x3​dS by using Gauss's theorem and finding a suitable vector field on the upper hemisphere Br+​={x∈R3:∣x∣<r,x3​>0}