Calculate the integral $ \int_{0}^{1} \frac{1}{z_0+t(z_1-z_0)-z} \,dt $.

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Let $z, z_0, z_1$ be three different complex numbers. I am trying to calculate the integral $ \int_{0}^{1} \frac{1}{z_0+t(z_1-z_0)-z} \,dt $. Is there a closed form? Any hints? Thank you.