Integrate : $\int \sqrt x e^{\large (x)^{3/2}} \cos (e^{\large(x)^{3/2}}. dx$

Question

$$\begin {array} {1 1} (a)\;\sin (e^{x^{1/2}})+c \\ (b)\;\frac{2}{3} \sin (e^{x^{3/2}})+c \\ (c)\;\sin (e^{x^{3/2}})+c \\ (d)\;None \end {array}$$