# But this is not

Calculus Level 3

$\large \int_0^1 \frac{2x+3}{\sqrt{x^2+2x+3}} \, dx$

If the integral above equals to $$\displaystyle \sqrt A - \sqrt B - \ln \left( \frac{\sqrt C+ 2}{\sqrt D + 1} \right)$$ for integers $$A,B,C$$ and $$D$$, find the value of $$A+B+C+D$$.

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