Indefinite Integrals

For \(x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\), if \(y(x)=\int \frac{\operatorname{cosec} x+\sin x}{\operatorname{cosec} x \sec x+\tan x \sin ^2 x} d x\), and \(\lim _\limits{x \rightarrow\left(\frac{\pi}{2}\right)^{-}} y(x)=0\) then \(y\left(\frac{\pi}{4}\right)\) is equal to