- #1
soofjan
- 18
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Homework Statement
Find the length of the curve on the sufrace z=xy, whose projection on the xy plane is a 1 radius circle around (0,0).
Homework Equations
The Attempt at a Solution
Length of a curve - usually linear integration of the first kind, when f(x,y,z)=1. So I tried:
x=cos(t), y=sin(t), 0<t<2*pi for the circle, z=cos(t)*sin(t). I got the integrand: sqrt(1+cos(2t)^2), which is not integrable.
Am I missing something, or could this be a mistake in the question..?
Thanks!