Integrate : $\int \large\frac{4}{9}$$.x^{3/2}. \sin (x)^{5/2}dx$

Question

$(a)\;\frac{-8}{45} \cos (x^{5/2})+c \qquad(b)\;\frac{-8}{45} \sin (x^{5/2})+c \qquad(c)\;\frac{-8}{9} \cos (x^{5/2})+c \qquad (d)\;\frac{-4}{45} \cos (x^{5/2})+c$