Integrate the following functions w.r.t x
`sin^(2)x cos^(3)x`

Explanation

To solve the integral of the function \( \sin^2 x \cos^3 x \) with respect to \( x \), we can follow these steps:

### Step 1: Rewrite the function
We start with the integral:
\[ y = \int \sin^2 x \cos^3 x \, dx \]
We can rewrite \( \cos^3 x \) as \( \cos^2 x \cdot \cos x \):
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