Area under Curves · Area between curves

Let

f : (1, \infty) \to \mathbb{R}

be function defined as

f(x) = \dfrac{x-1}{x+1}

. Let

f^{i+1}(x) = f\left(f^{i}(x)\right)

i = 1, 2, \ldots, 25

, where

f^{1}(x) = f(x)

. If

g(x) + f^{26}(x) = 0

x \in (1, \infty)

, then the area of the region bounded by the curves

y = g(x)

2y = 2x - 3

y = 0

and

x = 4

is:

We corrected a printing error in the original paper

Source printed “where $f^{1}(x) = (x)$ ” (the $f$ is missing).

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