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QJEEAdv05Ma549d: JEE Advanced 2005 Mathematics - Class 12 JEEAdv05Ma549d Solution: If then f is

If

\int\limits_{\sin x}^1 {{t^2}f\left( t \right)dt = 1 - \sin x,}

then f

\left( {{1 \over {\sqrt 3 }}} \right)

is

Multiple Choice Options

A ${1 \over 3}$
B ${{1 \over {\sqrt 3 }}}$
C $3$
D ${\sqrt 3 }$

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