Have Time for Cube Roots?

Algebra Level 4

If \(f(x) = \frac { 1 }{ \sqrt [ 3 ]{ { x }^{ 2 }+2x+1 } +\sqrt [ 3 ]{ { x }^{ 2 }+x } +\sqrt [ 3 ]{ { x }^{ 2 } } }\)

Evaluate \(\displaystyle \sum_{n=1}^{2196} f(n) \)

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