Let $I = \mathop \smallint \limits_0^1 \frac{{\sin x}}{{\sqrt x }}\;dx$ and $\;J = \mathop \smallint \limits_0^1 \frac{{\cos x}}{{\sqrt x }}\;dx$ Then which one of the following is true?
Let $I = \mathop \smallint \limits_0^1 \frac{{\sin x}}{{\sqrt x }}\;dx$ and $\;J = \mathop \smallint \limits_0^1 \frac{{\cos x}}{{\sqrt x }}\;dx$ Then which one of the following is true?
- [AIEEE 2008]
- 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 $J < 2$
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