$\int_0^\infty\:\frac{\ln\Big(\frac{1+x^a}{1+x^b}\Big)}{(1+x^2)\ln\:x}\:dx$ integralini çözün

Question

$$\large\int_0^\infty\:\frac{\ln\Big(\frac{1+x^a}{1+x^b}\Big)}{(1+x^2)\ln\:x}\:dx\:\:\:,\:\:\:a,b\in\mathbb{R}$$

İntegralini çözün.