Let f(x) be a positive function and I_1 = _ - 1 2 ^ 1 2xf(2x(1-2x))dx and I_2 = _ -1 ^ 2 f(x(1-x))dx. Then...

Question

Let f(x) be a positive function and I_1 = _ - 1 2 ^ 1 2xf(2x(1-2x))dx and I_2 = _ -1 ^ 2 f(x(1-x))dx. Then the value of I_2 I_1 is equal to ____ .

Accepted Answer

(2)

JEE Main 2025 Mathematics question