# Valentine's Day! 2

Calculus Level 3

$\large \int_2^{14} \dfrac{1402}{x^2+16x+28} \, dx$

If the integral above is equal to $$\dfrac ab \ln\left( \dfrac cd\right)$$, where $$a,b,c$$ and $$d$$ are positive integers and $$\gcd(a,b) = \gcd(c,d) = 1$$, find $$a+b+c+d$$.

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