Evaluate: `intsqrt(2x^2+3x+4)dx`

Explanation

To evaluate the integral \( \int \sqrt{2x^2 + 3x + 4} \, dx \), we will follow a systematic approach to rewrite the integrand in a suitable form for integration.

### Step 1: Factor out the coefficient of \( x^2 \)
We start with the expression under the square root:

\[ \sqrt{2x^2 + 3x + 4} \]
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