Lengthy Integral

Calculus Level 2

\(\left| \int _{ 0 }^{ \cos ^{ -1 }{ \left( { e }^{ -1 } \right) } }{ \frac { sin(x) }{ \sqrt { 1-\frac { 1 }{ \cot ^{ 2 }{ x } +1 } } } } dx \right| \)

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