Integrate: $\int \limits_{_z}^{z} \large\frac{2x(1+\sin x)}{1+\cos ^2 x}$$dx$

Question

\[\begin {array} {1 1} (a)\;z^2 \\ (b)\;z^3 \\ (c)\;2z \\ (d)\;\frac{z^2}{4} \end {array}\]