Tricky!

Calculus Level 5

Let f(x)=2xdx1+x4f\left( x \right) =\displaystyle \int _{ 2 }^{ x }{ \frac { dx }{ \sqrt { 1+{ x }^{ 4 } } } } and g g be the inverse of ff . If g(0)=ng'\left( 0 \right) =n then find n2 { n }^{ 2 } .

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