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Let xxx be the eccentricity of a hyperbola and f(x)f\left( x \right)f(x) be the eccentricity of its conjugate hyperbola. Then find ∫35(f∘f∘f∘f∘f∘f∘f∘f)(x)dx\int _{ 3 }^{ 5 }{ (f\circ f\circ f\circ f\circ f\circ f\circ f\circ f )\left( x \right) } dx∫35(f∘f∘f∘f∘f∘f∘f∘f)(x)dx
Clarification: We're composing 8 fff's
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