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Definite Integration question

2021 · 27 Jul · Shift 1 · Q42

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 27 Jul · Shift 1 · Q42

Definite Integration question

2021 · 27 Jul · Shift 1 · Q42

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

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

\underline{\hspace{2cm}}

.

Numerical answer

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