- #1
ElijahRockers
Gold Member
- 270
- 10
Homework Statement
Find the area of the surface z=7+2x+2y2 that lies above the triangle with vertices (0,0) (0,1) and (2,1)
The Attempt at a Solution
It's not a particularly difficult problem to set up, I just can't seem to get a simple integrand.
∫∫√(16y2+5) dA is what I come up with, and I'm not quite sure how to find the anti-derivative of that. dA=dy dx, 0<y<(x/2) & 0<x<2.
I can't do a u-sub because I don't have anything to cancel out dy with. I've looked in some integral tables also, and the closest thing I could think of would give me an arcsin function and I'm pretty sure that's not how I'm supposed to do it.
Thanks in advance