Match List-I with List-II and choose the correct option:
| LIST-I (Function) | LIST-II (Value) |
|---|---|
| (A) \( \int_{\gamma} \frac{1}{z-a} \, dz \), where \( \gamma: |z-a|=r, r > 0 \) | (III) \( 2i\pi \) |
| (B) \( \int_{\gamma} \frac{z+2}{z} \, dz \), where \( \gamma: z = 2e^{it}, 0 \le t \le \pi \) | (IV) \( i\pi \) |
| (C) \( \int_{\gamma} \frac{e^{2z}}{(z-1)(z-2)} \, dz \), where \( \gamma: |z|=3 \) | (II) \( 2i\pi(e^4 - e^2) \) |
| (D) \( \int_{\gamma} \frac{z^2 - z + 1}{2(z-1)} \, dz \), where \( \gamma: |z|=2 \) | (I) \( -4 + 2i\pi \) |
Choose the correct answer from the options given below: