Integrate : $\int \large\frac{5}{8}.x.e{^{\Large x^2}}. \sec (e^{\Large x^2}).\tan (e^{x^2})dx$

Question

$(a)\;\frac{5}{6} \sin (e^{x^2})+c \\(b)\;\sec (e^{x^2})+\tan (e^{x^2})+c \\(c)\;\frac{5}{16} \sec (e^{x^2})+c \\ (d)\;\frac{5}{16} \tan (e^{x^2})+c$