# Trigonotegral

Calculus Level 4

$\large \displaystyle \int _{ 0 }^{ 1 }{ \dfrac { \sin { (\tan ^{ -1 }{ x } )\sqrt { \cos ^{ 2 }{ (\tan ^{ -1 }{ x } ) } +4{ x }^{ 2 } } } }{ x } } \, dx$

The integral shown above can be written as $$A-\dfrac { \pi }{ B }$$, where $$A$$ and $$B$$ are integers. Find the value of $$A+B$$.

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