Evaluate: `intsqrt(3-2x-2x^2)dx`

Explanation

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

### Step 1: Rewrite the expression under the square root
We start by rewriting the expression \( 3 - 2x - 2x^2 \):
\[ 3 - 2x - 2x^2 = -2(x^2 + x - \frac{3}{2}) \]
Now, we will complete the square for the quadratic \( x^2 + x - \frac{3}{2} \).
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