-\int_{-\infty}^\infty \frac{1}{4\sqrt{2\pi}} * ( e^( - (x-2)^2/2) + e^( -(x+2)^2/2) + 2* (e^( -x^2/2)) ) * ln(\frac{1}{4\sqrt{2\pi}} * ( e^( - (x-2)^2/2) + e^( -(x+2)^2/2) + 2* (e^( -x^2/2)) ) )