∫[0,√3]xarctan xdx=1/2∫[0,√3]arctan xdx^2=1/2x^2arctanx[0,√3]-1/2∫[0,√3]x^2darctan x=π/2-1/2∫[0,√3]x^2/(1+x^2)dx=π/2-1/2∫[0,√3][1-1/(1+x^2)]dx=π/2-1/2(x-arctanx)[0,√3]=π/2-√3/2+π/6=2...