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JEE Math Practice Question

Let $$I = \int\limits_0^1 {{{\sin x} \over {\sqrt x }}dx} $$ and $$J = \int\limits_0^1 {{{\cos x} \over {\sqrt x }}dx} .$$ Then which one of the following is true?

  1. A.$$1 > {2 \over 3}$$ and $$J > 2$$
  2. B.$$1 < {2 \over 3}$$ and $$J < 2$$
  3. C.$$1 < {2 \over 3}$$ and $$J > 2$$
  4. D.$$1 > {2 \over 3}$$ and $$J < 2$$

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