I don't know how to use the MATH code here...and I'm running out of time for reviewing for finals, so forgive me if it isn't clear for you... >.<
OK...here's my question:
DoubleInt(s) (z+x^2y)dS, S is the part of the cylinder y^2 + z^2 = 1 that lies between the planes x = 0 and x = 3 in the first octant.
I know that maybe...I should use
y = rcos(theta) = cos(theta)
z = rsin(theta) = sin(theta)
x = x
and find r_(theta) x r_(z) = < cos(theta), sin(theta), o> (I'm not sure if this way is the right path...)
and find the magnitude of |r_(theta) x r_(z)| = 1
I don't know what to do next, which formula to use (there were two...) and what boundaries? How can I get the numbers for those boundaries?
Can anyone solve this question for me please? I know the final answer, which is 12.