# 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 $${ I }_{ 1 } + { I }_{ { 2 } }$$.

×