this-is-a-closed-curve-f-e-i-e-i-e-sin-e-i-cos-pi-lt-pi-f-x-e-sin-cos-cos-y-e-sin-sin-cos-find-the-area-

Question Number 204666 by Ghisom last updated on 25/Feb/24

this is a closed curve :

f (θ) = {(e^{i θ})}^{(e^{i θ})} = e^{- θ \sin θ} e^{i θ \cos θ}; - π < θ ⩽ π

f : {\begin{cases} x (θ) = e^{- θ \sin θ} \cos (θ \cos θ) \\ y (θ) = e^{- θ \sin θ} \sin (θ \cos θ) \end{cases}

find the area