Integration of $\int \frac{1}{1+\tan^{2023}(x)}dx$

Question

I need to find this integration $$\int_{0}^{\frac{\pi}{2}} \frac{1}{1+\tan^{2023}(x)}dx.$$ My Attempt

I tried to find the integration by using $$\int_{0}^{a} f(x) dx = \int_{0}^{a} f(a-x) dx.$$ The technique above can be used when I do $$\int_{0}^{\frac{\pi}{2}} \ln(\tan{x})dx.$$

Thanks in advanced.