question_answer

If \[I=\int\limits_{0}^{1}{{{(1-x)}^{2007/2}}}\cdot x\,\,dx,\]  then I equals to _____.

A)  \[\frac{2}{(2007).(2009)}\]        

B)  \[\frac{4}{(2009).(2011)}\]

C)  \[\frac{3}{(2009).(2011)}\]        

D)  \[\frac{4}{(2007).(2009)}\]

E)  None of these