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Definite Integration question

2007 · Shift 0 · Q46

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PYQ Library
JEE Main
Mathematics
Definite Integration
2007 · Shift 0 · Q46

Definite Integration question

2007 · Shift 0 · Q46

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

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?

A
$1 \gt {2 \over 3}$ and $J \gt 2$
B
$1 \lt {2 \over 3}$ and $J \lt 2$
C
$1 \lt {2 \over 3}$ and $J \gt 2$
D
$1 \gt {2 \over 3}$ and $J \lt 2$

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