The range of the function f(x) =x^6+x^4+2x^2+1+2/x^2+1/x^4+1/x^6

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f (x) = 1 + \frac{x^{2}}{2!} + \frac{x^{4}}{4!} + \frac{x^{6}}{6!} + . . . \infty

f^{'} (x) = sinh x

1 + x^{2} + x^{4} + x^{6} + \dots . + x^{22}

1 + x + x^{2} + x^{3} + \dots . + x^{11}

\int \frac{x^{4} + 1}{1 + x^{6}} d x =

\int \frac{x^{4} + 1}{x^{6} + 1} d x =

\frac{1}{x^{6} + x^{4}}

f (x) + \frac{1}{x} + g (x) x^{- 3} + C

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