I'm having some issues with this path integral.
The vector field is F=<x,-y,-z>
The path is defined by c(t)=(sint, cost, t)
and t is from 0 to 3pi/2
How I have it set up, it turns out to be the integral of 2cos(t)sin(t) -t +1 from t=0 to t=3pi/2
because I plugged the c terms into the F, then did the dot product of that with the c prime terms
I solved this to be -cos^2(t)-((t^2)/2)+t,
then plugged in 3pi/2
but it was wrong
any ideas why?