Not defined Really!

Calculus Level 3

If \(\displaystyle { I }_{ 1 } = \int _{ \frac { 1 }{ 2 } }^{ 2 }{ \frac { { x }^{ 2012 } - 1 }{ { x }^{ 2014 } + 1 }dx } \) and \(\displaystyle { I }_{ 2 } = \int _{ 2 }^{ 4 }{ \left( \log _{ x }{ 2 } - \frac { { \left( \log _{ x }{ 2 } \right) }^{ 2 } }{ \ln { 2 } } \right) dx } \), find the value of \({ I }_{ 1 } + { I }_{ { 2 } }\).

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