Who's up to the challenge? 25

$\int _{ 0 }^{ 1 }{ \left\{ \frac { 1 }{ x } \right\} ^{ 3 } } dx=-\frac { H }{ U } -Mγ+\frac { { M }_{ 1 } }{ U_1 } \ln { (Sπ) } -B\ln { A }$

In the equation above, $A$ is the Glaisher–Kinkelin constant, all other variables are positive integers, and all the fractions mentioned are coprime.

Find $H+U+M+{ M }_{ 1 }+{ U }_{ 1 }+S+B.$

Note: $\{x\}$ denotes the fractional part of $x.$

This is a part of "Who's up to the challenge?"