question_answer

If\[\int{{{\sin }^{5/2}}x{{\cos }^{3}}x\,\,dx=2{{\sin }^{A/2}}x\left[ \frac{1}{B}-\frac{1}{C}{{\sin }^{2}}x \right]}+c,\]then the value of \[\left( A+B \right)-C\] is equal to

A)  1                                

B)  3

C)  5                                

D)  7

E)  None of these