surface area problem..
been trying to solve the folowing area calc:
so it should be the area of the surface
then to use the formula for area integrals over uneven surfaces
i derive as follows:
and then in to the formula:
but then i'm stucked, anyone got an idea how to solve this one?
Okay you have,
Then, square them,
So the surface area is,
Now, I did not simplify this integration. I am thinking about it. I tried using a Jacobian but alas not success yet.
yepp, have been going that way, been trying reducing it to
and then switch to polar coordinates but it get's even mesier that way, but it doesn't seem to be a very suitable area for polar coords anyway.
just a thought, since doesn't that mean that the half tube in the zy plane is filled? witch makes
since makes something that looks like a hyperbolic paraboloid..