Jee Main
Definite Integration
JEE Main 2021 (Online) 27th July Morning Shift
INTEGER+4 / -12021
Let the domain of the function
\(f(x) = {\log _4}\left( {{{\log }_5}\left( {{{\log }_3}(18x - {x^2} - 77)} \right)} \right)\) be (a, b). Then the value of the integral \(\int\limits_a^b {{{{{\sin }^3}x} \over {({{\sin }^3}x + {{\sin }^3}(a + b - x)}}} dx\) is equal to _____________.
\(f(x) = {\log _4}\left( {{{\log }_5}\left( {{{\log }_3}(18x - {x^2} - 77)} \right)} \right)\) be (a, b). Then the value of the integral \(\int\limits_a^b {{{{{\sin }^3}x} \over {({{\sin }^3}x + {{\sin }^3}(a + b - x)}}} dx\) is equal to _____________.