# Who's up to the challenge? 2

Calculus Level 4

$\int _{ 1 }^{ 2 }{ \frac { dx }{ 5{ x }^{ 2 }+2x+5 } } = \frac { 1 }{ c\sqrt { d } } \text{ arccot} \left(a\sqrt { \frac { b }{ c } } \right)$

If $$a,b,c$$ and $$d$$ are positive integers that satisfy the equation above, with $$b,c$$ coprime, find $$a+b+c+d$$.

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