Path Integrals-- Multivariable Calculus
Hi all-- really stuck here, help would be greatly appreciated. :)
1. Evaluate ∫Fds (over c), where F(x, y, z) = (y, 2x, y) and the path c is de fined by the equation c(t) = (t, t^2, t^3); on [0, 1]:
2. Homework Equations
L = sqrt(f'(t)^2 +...
Homework Statement
Find the arc length of the curve
(t) = (1; 3t2; t3) over the interval 0 t 1.
Homework Equations
L=sqrt(f'(t)^2+g'(t)^2+...+n'(t)^2) (integrated from a to b)
int(udv)=uv-int(vdu)
The Attempt at a Solution
Seems like it should be fairly straightforward-- the...