Stuck in definite integral of a function

Stuck in definite integral of a function

$$I=\int_{0}^{\pi}\frac{x\tan (x)}{\tan(x)+\sec(x)}dx $$ I was given this
problem now using property of definate integral i then equated this
expression to $$\int_{0}^{\pi}\frac{\pi-x\tan (x)}{\tan(x)+\sec(x)}dx $$
and $$2I=\int_{0}^{\pi}\frac{\pi\tan
(x)}{\tan(x)+\sec(x)}dx=\pi\int_{0}^{\pi}\frac{sin (x)}{sin(x)+1}dx$$ now
what am i supposed to do help i am stuck