Question

\text { Let } F(x, y)=\frac{-y+2020^{x}}{x^{2}+y^{2}} i+\frac{x+y^{2020}}{x^{2}+y^{2}} j Evaluate the line integral \int_{C} F \cdot d r where C is given by r(t) = (cos nt, sin nt)(0 sts2n), n

is integer.%3D

Fig: 1

Fig: 2

Fig: 3

Fig: 4