Let the domain of the functionf(x)=\log _{4}(\log _{5}(\log _{3}(18 x-x^{2}-77))) be (a, b)Then the value of the integral\\int_{a} ^{b} {\sin ^{3} x}/{(\sin ^{3} x+\sin ^{3}(a+b-x))} d x is equal to ________. [27 Jul 2021 Shift 1]

JEE Main 27 July 2021 Shift 1 Solved Paper

Section: Mathematics

Question : 84 of 90

Marks: +1, -0

Let the domain of the functionf(x)=log4(log5(log3(18x−x2−77))) be (a,b)Then the value of the integral

∫

sin3x

(sin3x+sin3(a+b−x))

dx is equal to ________.

[27 Jul 2021 Shift 1]

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