Geometric Representation of Complex Numbers (Example 4)

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This video shows how to sketch sets described by equalities involving complex numbers.
Initial problem is the following: it's required to sketch the set defined by equality z+conj(z)=z*conj(z) where z is arbitrary complex number, conj(z) is a complex conjugate to z.

Math Help: Complex Calculus

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∫ 𝑑𝑧/(1 − 𝑧^2)
) along the whole positive imaginary axis, that is, the 𝑦 axis.can u geometrically represent this

atheelava