Integrate : $\int x \sec ^2x^2 .dx$

Question

$$\begin {array} {1 1} (a)\;\frac{1}{2} \sec(x^2)+c \\ (b)\;\frac{1}{2} \tan(x^2)+c \\ (c)\;\frac{1}{2} \sec(x^2)+c \\ (d)\;None \end {array}$$