# An odd integral

Calculus Level 5

The image above shows the graph for $$f(x) =\dfrac { { x }^{ 2 } }{ { x }^{ 4 }+4 }$$. By drawing a tangent line at either absolute maximum for $$f(x)$$, one can bound a finite region above $$f(x)$$ that ends at the $$y$$-value for these maxima.

What is the area of this region?

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