Let \( f \) be a positive function. If \( I_{1}=\int_{1-k}^{k} x f[...

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Let \( f \) be a positive function.
If \( I_{1}=\int_{1-k}^{k} x f[x(1-x)] d x \) and
\( \mathrm{P} \) \( I_{2}=\int_{1-k}^{k} f[x(1-x)] d x \), where \( 2 k-10 \).

VW
Then, \( \frac{I_{1}}{I_{2}} \) is
(1997C, 2M)
(a) 2
(b) \( k \)
(c) \( 1 / 2 \)
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