# Hyperbola 1

Geometry Level 4

Let $$x$$ be the eccentricity of a hyperbola and $$f\left( x \right)$$ be the eccentricity of its conjugate hyperbola. Then find $\int _{ 3 }^{ 5 }{ (f\circ f\circ f\circ f\circ f\circ f\circ f\circ f )\left( x \right) } dx$

Clarification: We're composing 8 $$f$$'s

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