JEE Main & Advanced Mathematics Indefinite Integrals Question Bank Numerical Value Type Questions - Integrals

  • question_answer
    Let f be a positive function. Let \[{{I}_{1}}=\int\limits_{1-k}^{k}{x\,\,f\left[ x\left( 1-x \right) \right]}\,dx,\] \[{{I}_{2}}=\int\limits_{1-k}^{k}{\,f\left[ x\left( 1-x \right) \right]}\,dx,\] where \[2k-1>0\]. Then \[\frac{{{I}_{1}}}{{{I}_{2}}}\] is

    Answer:

    0.5


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