NVAMediumJEE Main 2023 · 8 April, Shift 1Definite Integrals

Mathematics Question from JEE Main 2023 · 8 April, Shift 1

Let [t][t] denote the greatest integer t\leq t. Then 2ππ65π6(8[cscx]5[cotx])dx\frac{2}{\pi}\int_{\frac{\pi}{6}}^{\frac{5\pi}{6}} \left(8[\csc x] - 5[\cot x]\right) dx is equal to:

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