The image contains three mathematical integration problems. Let’s go through them one by one:

Part a:

i) $\int \frac{1}{(2x + 3)^3} \, dx$

ii) $\int \frac{1}{1 + e^x} \, dx$

Part b:

$\int \frac{1}{5 + 3 \cos x} \, dx$

Part c:

$\int_0^{\frac{\pi}{2}} \frac{\sqrt{\sin x}}{\sqrt{\cos x} + \sqrt{\sin x}} \, dx$

Would you like me to start with the solutions for each of these integrals, or would you prefer focusing on one at a time? Let me know your preference.