Show that ; I = ∫_( 0) ^( 1) ∫_( 0) ^( 1) ((ln(1+(√(xy))) ln(1+ (√((1−x)/(1−y)))))/( (√(1−x)) (√(1−y)) (x+y))) dxdy I = ζ(3)−((70)/(351))−((280)/(351)) ln 2−((40)/(117)) ln^2 2 +((412)/(351)) ln^3 2 + ((167)/(2106)) π^2 ln 2