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Application of line integral in an exercise
Hello, can someone help me with this exercise ?
Compute the work done by the force field F(r, θ) = (−4sinθ, 4sinθ) (given inpolar coordinates) in moving a particle along the curve r = e^{−θ}from (1,0) to the origin.
I'm doing the line integral using the formula of the line integral so Work= ∫_{c }F · ds =∫^{a}_{b} F(c(t)) · c'(t)dt
and I have ∫^{1}_{0} (4sin(t),4sin(t)) · (4cos(t),4cos(t)) dt so now when I compute it I get 16 and the result should be 8/5
I would appreciate your help. Thanks in advance.
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