Another Euler Constant: The Value of an Euler Integral

We show many occurrences in various contexts of the constant Eu:=π24log2-78ζ(3)=2.507907542 {E_u}: = {{{\pi ^2}} \over 4}\log 2 - {7 \over 8}\zeta \left( 3 \right) = 2.507907542 ... Since this constant is related to an integral studied by Euler, we propose to name it after Euler.