Let $I = \int_{0}^{1} \frac{\sin x}{\sqrt{x}} \, dx$ and $J = \int_{0}^{1} \frac{\cos x}{\sqrt{x}} \, dx$. 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 $J < 2$

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