Define [tex]I_1=\int^{\infty}_{0} \frac{f \left(\frac{2}{x}+\frac{x}{2} \right) \ln x}{x} \text{ } dx, I_2=\int^{\infty}_{0} \frac{f \left(\frac{2}{x}+\frac{x}{2} \right)}{x} \text{ } dx, I_3=\int^{\infty}_{-\infty} xf(e^x +e^{-x}) \text{ }dx[/tex]. Which of the following is/are true?

(A) [tex]I_1 \neq I_2 \neq I_3[/tex]
(B) [tex]\frac{I_1}{I_2}=\ln 2[/tex]
(C) [tex]I_1+I_2 \neq I_3[/tex]
(D) [tex]I_1 =(\ln 2)I_2 +I_3[/tex]