If the value of the integral ∫_-(π)/2^((π)/2)((x^2 cos x)/(1+π^x)+(1+ sin^2 x)/(1+e^sin x^2023)) d x=(π)/4(π+a)-2, then the value of a is

If the value of the integral $\displaystyle \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(\frac{x^2 \cos x}{1+\pi^x}+\frac{1+\sin ^2 x}{1+e^{\sin x^{2023}}}\right) d x=\frac{\pi}{4}(\pi+a)-2$, then the value of $\displaystyle a$ is