Solve $ \int{\sqrt{1 + (3x^2 + 2x - \frac{29}{2})^2}} dx $

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I have to solve this indefine integral:

$$ \int{\sqrt{1 + (3x^2 + 2x - \frac{29}{2})^2}} dx $$

I tried to make the square:

$$ \int{\sqrt{9x^4 +12x^3-29*3x^2 -58x + \frac{29^2 +4}{4}}} dx $$

but this makes me confused more than first. I don't know how to do substitution for this case or any other method. I have no idea. Can you please help me?

Thank you!