Evaluate: `int(2x-5)sqrt(2+3x-x^2)dx`

Explanation

To evaluate the integral \( \int (2x - 5) \sqrt{2 + 3x - x^2} \, dx \), we can follow these steps:

### Step 1: Substitute for the square root
Let \( t^2 = 2 + 3x - x^2 \). Then, differentiating both sides gives us:
\[ 2t \, dt = (3 - 2x) \, dx \quad \Rightarrow \quad dx = \frac{2t \, dt}{3 - 2x} \]

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