The Student Room Group

Surface integrals

Screen Shot 2015-04-10 at 21.44.35.png

For the question a) ii. I was wondering if there is a quick way to do this? I worked out the surface integral for each of the 6 faces which wasn't too hard it was just quite time consuming and for 6 marks I reckon there must have been a quicker method.

The answer is just 0, if anyone could enlighten me that would be amazing. Note it says we cannot use the divergence theorem.
(edited 9 years ago)
Does v=(x,y,z), if so is the answer not 3?
(edited 9 years ago)
Reply 2
Original post by rayquaza17
Does v=(x,y,z), if so is the answer not 3?


Sorry, cut out v my bad wasn't thinking, v is Screen Shot 2015-04-10 at 21.44.35.png
Reply 3
Anyone got any ideas on this?
Reply 4
Original post by Davelittle
Screen Shot 2015-04-10 at 21.44.35.png

For the question a) ii. I was wondering if there is a quick way to do this? I worked out the surface integral for each of the 6 faces which wasn't too hard it was just quite time consuming and for 6 marks I reckon there must have been a quicker method.

The answer is just 0, if anyone could enlighten me that would be amazing. Note it says we cannot use the divergence theorem.


I cannot see any sensible symmetry arguments but I think most of these integrals are trivial, so it should not be that time consuming.

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