# Definite integral

Calculus Level 5

If

$\displaystyle\int _{ -\frac { 1 }{ \sqrt { 3 } } }^{ \frac { 1 }{ \sqrt { 3 } } }{ \frac { { x }^{ 4 } }{ 1-{ x }^{ 4 } } } \cos ^{ -1 } \left({ \frac { 2x }{ 1+{ x }^{ 2 } } } \right) dx$ can be represented in the form $\frac { \pi }{ a } [\pi +b\log { (c+\sqrt { 3 }) } +d\sqrt { 3 } ]$ then find the value of $$a+b+c+d$$.

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