2πT 1 I₂ = So dt. 13 + 5 cost Let I be the unit circle {z e C : |Z| = 1} parametrised in the anticlockwise direction. (i) Find a complex function f such that 2π 1 1.² dt = [ f(z) dz. 13 + 5 cost Explain how you obtained your answer and show that it is correct. (ii) Use part (i) to calculate the value of the integral I2. =

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