Let f be a positive function. Let A_ 1 = _ 1-k ^ k x f[x(1-x)] d x and A_ 2 = _ 1-k ^ k…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Let f be a positive function. Let \(A_{1}=\int_{1-k}^{k} x f[x(1-x)] d x \text { and } A_{2}=\int_{1-k}^{k} f[x(1-x)] d x\), where \(2 k-1>0\). Then, \(\frac{I_{1}}{I_{2}}\) is
- 2
- k
- \(\frac{1}{2}\)
- 1
Answer
(C) 1 2
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