Mathematics · 2021
JEE Main · 27 July 2021, Shift 1 · Q85
Let the domain of the function f(x)= log_4( log_5( log_3(18 x-x^2-77))) be ( a, b ). Then the value of the integral ∫_a^b (sin^3 x)/(( sin^3 x+…
Let the domain of the function
$$f(x)=\log _4\left(\log _5\left(\log _3\left(18 x-x^2-77\right)\right)\right) \text { be }(\mathrm{a}, \mathrm{~b}) .
$$
Then the value of the integral
$$\int_{\mathrm{a}}^{\mathrm{b}} \frac{\sin ^3 x}{\left(\sin ^3 x+\sin ^3(\mathrm{a}+\mathrm{b}-x)\right)} \mathrm{d} x
$$
is equal to \_\_\_\_.
Official answer
1
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.