Absolute value of sum of all integral values of ‘x’ in the domain of fx=cot−1xx+3+cos−1x2+3x+1is

∴ xx+3≥0⇒x≥0orx≤−3 .......   (1)also 0≤x2+3x+1≤1  ⇒ x2+3x≤0⇒ xx+3≤0 and     0≤x≤3.......(2)⇒ xx+3=0 ⇒ x=0,−3Sum of integral values of x =0-3=-3∴absolute value of sum of integral values of a =-3=3