# Functions and Integrals....

Calculus Level 5

The value of x satisfying $$\int _{ 0 }^{ 2[x+14] }{ \left\{ \frac { x }{ 2 } \right\} } dx=\int _{ 0 }^{ \left\{ x \right\} }{ [x+14] } dx$$, is equal to

[.] and {.} denotes the Greatest Integer and Fractional Part of 'x' respectively.