JEE Main & Advanced
Sample Paper
JEE Main - Mock Test - 4
question_answer
Let \[f(x)={{x}^{4}}+|x|,\] \[{{I}_{1}}=\int\limits_{6}^{\pi }{f(\cos x)dx\,\,and\,\,{{I}_{2}}}=\int\limits_{0}^{\frac{\pi }{2}}{f(sin\,\,x)dx.}\] Then the value of \[\frac{{{I}_{2}}}{{{I}_{1}}}\] is _________.