$$\int \cos ^3 x e^{\log (\sin x)^2} d x=$$

$$\int \frac{d x}{e^x+e^{-x}+2}=$$

$$\int \frac{\mathrm{dx}}{32-2 \mathrm{x}^2}=\mathrm{A} \log (4-\mathrm{x})+\mathrm{B} \log (4+\mathrm{x})+\mathrm{c}$$, then the values of $$\mathrm{A}$$ and $$\mathrm{B}$$ are respectively (where c is a constant of integration)

$$\int \cos ^3 x \cdot e^{\log (\sin x)} d x=$$