Soft.

The decimal expression of $\displaystyle \large \int_{-1}^1 |x|^x \, dx$ to two decimal places can be expressed as $\frac{A}{B}$ for two coprime integers $A$ and $B$ . Find $\frac{\text{sopfr}(A)}{\text{sopfr}(B)}$ to two decimal places.

Note: $\text{sopfr}(x)$ refers to this function. (intro section)