subject: Complex Analysisplease show all steps for solving the question Let \( C_{R} \) denote the upper half of the circle \( |z|=R(R>2) \), taken in the counterclockwise direction. Show that \[ \left|\int_{C_{R}} \frac{z}{z^{4}+1} d z\right| \leq \frac{\pi R^{2}}{R^{4}- 2 answers