The value 9∫09⌊10xx+1⌋ dx 9 \int_{0}^{9} \left\lfloor \frac{10x}{x+1} \right\rfloor \, dx 9∫09⌊x+110x⌋dx, where ⌊t⌋ \left\lfloor t \right\rfloor ⌊t⌋ denotes the greatest integer less than or equal to t t t, is ________.
If the value of the integral
∫−π2π2(x2cosx1+πx+1+sin2x1+esinx2023)dx=π4(π+a)−2, \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \left( \frac{x^2 \cos x}{1 + \pi^x} + \frac{1 + \sin^2 x}{1 + e^{\sin^x 2023}} \right) dx = \frac{\pi}{4} (\pi + a) - 2, ∫−2π2π(1+πxx2cosx+1+esinx20231+sin2x)dx=4π(π+a)−2,
then the value of aaa is: