# A calculus problem by Mateus Gomes

Calculus Level 4

$\large \int_0^3 \sqrt{9+x^2} \, dx$

The integral above can be expressed as $$\dfrac{A\sqrt B}C + \dfrac{D \ln(\sqrt E + F)}G$$, where $$A,B,C,D,E,F,G$$ are all positive integers, with $$(A,C)$$ and $$(D,G)$$ coprime pairs, and both $$B,E$$ square-free.

Calculate $$A+B+C+D+E+F+G$$.

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