JEE Main 2007Annual, Paper 1MathematicsMediumIntegral Calculus369× since 2002Let I=∫01sinxxdxI = \int\limits_0^1 {{{\sin x} \over {\sqrt x }}dx}I=0∫1xsinxdx and J=∫01cosxxdx.J = \int\limits_0^1 {{{\cos x} \over {\sqrt x }}dx} .J=0∫1xcosxdx. Then which one of the following is true?AOption A. 1>231 > {2 \over 3}1>32 and J>2J > 2J>2BOption B. 1<231 < {2 \over 3}1<32 and J<2J < 2J<2COption C. 1<231 < {2 \over 3}1<32 and J>2J > 2J>2DOption D. 1>231 > {2 \over 3}1>32 and J<2J < 2J<2CheckSkip · show solution
