Find the integral`int(1-x)sqrt(x)dx`

Explanation

To solve the integral \(\int (1 - x) \sqrt{x} \, dx\), we will follow these steps:

### Step 1: Rewrite the Integral
We start by rewriting the integral:
\[ \int (1 - x) \sqrt{x} \, dx = \int \left( \sqrt{x} - x \sqrt{x} \right) \, dx \]

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