To solve the integral \( \int \sin^3 x \cos^5 x \, dx \), we can follow these steps:
### Step 1: Rewrite the integral
We can express \( \sin^3 x \) as \( \sin^2 x \sin x \) and rewrite the integral:
\[
\int \sin^3 x \cos^5 x \, dx = \int \sin^2 x \sin x \cos^5 x \, dx
\]
...