Integral Ratio (Jee Mains)

Definite Integration Properties

Medium

Integral Ratio

Let f(x) be a positive function and I₁ = $\int\limits_{ - \frac{1}{2}}^1 {\;2xf(2x(1 - 2x))}$ dx and I₂= $\int\limits_{ - 1}^2 {\;f(x(1 - x))}$ dx. Then the value of $\frac{{{I_2}}}{{{I_1}}}$ is equal to ____.

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