Use the Divergence Theorem...
Cylindrical can F=(6x^2+2xy)i+(2y+x^2z)j+4x^2y^3k
D: The region cut from the first octant by the cylinder x^2+y^2=4 and the plane z=3

Question

usukidoll · Answer

http://s30.postimg.org/5xg6owuld/Scan_131208_0002.jpg <--- my attempt

usukidoll · Answer

@zepdrix

usukidoll · Answer

can you guys see the image? or do i have to attach a file here?

anonymous · Answer

That looks good to me. :-)

usukidoll · Answer

wait that's the correct answer?

usukidoll · Answer

@ChristopherToni that's really correct? are you sure?

anonymous · Answer

The integration is correct; but now you have me second guessing your set up.  I'll look through it again.  XD

usukidoll · Answer

or you could solve through the divergence theorem X) and see what the answer is if it matches or not...while I eat lunch

anonymous · Answer

Yea, I can't find anything wrong with your work (the conversion to cylindrical coordinates is correct, and the entire evaluation of that triple integral was good too). So I suppose then that it's safe to say your answer is correct. :-)

usukidoll · Answer

awesome man thanks!