question_answer

If \[I=\int\limits_{0}^{1}{\frac{\sin x}{\sqrt{x}}}\,\,dx\]and \[J=\int\limits_{0}^{1}{\frac{\cos x}{\sqrt{x}}}\,\,dx,\] then which one of the following is true?

A)  \[I>\frac{2}{3}\,\,and\,\,J>2\]  

B)  \[I<\frac{2}{3}\,\,and\,\,J<2\]

C)  \[I<\frac{2}{3}\,\,and\,\,J>2\]  

D)  \[I>\frac{2}{3}\,\,and\,\,J<2\]

E)  None of these