12th Class
Mathematics
Definite Integrals
Question Bank
Critical Thinking
question_answer
Let \[f\] be a positive function. Let \[{{I}_{1}}=\int_{1-k}^{k}{x\,f\left\{ x(1-x) \right\}}\,dx\], \[{{I}_{2}}=\int_{1-k}^{k}{\,f\left\{ x(1-x) \right\}}\,dx\] when \[2k-1>0.\] Then \[{{I}_{1}}/{{I}_{2}}\] is [IIT 1997 Cancelled]