To evaluate the integral \( \int \cos^3 x \sqrt{\sin x} \, dx \), we can follow these steps:
### Step 1: Rewrite the Integral
We can express the integral as:
\[
\int \cos^3 x \sqrt{\sin x} \, dx = \int \cos^2 x \cdot \cos x \cdot \sqrt{\sin x} \, dx
\]
...
