Result of the integration

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$$\int_{C} \overline z \operatorname{Im}(z^2)dz,$$ Where C is $\frac{1}{4}$of a circle starting from point $Ri$ to point $R$. I calculated this using parametrization: $$\gamma(t) = Re^{it}$$ from $t=\frac{\pi}{2}$ to t=$0$ and got answer $$ -\frac{(2i+2)*R^3}{3}$$