Question
Let $[t]$ denote the greatest integer $\leq t$. Then $\frac{2}{\pi} \int_\limits{\pi / 6}^{5 \pi / 6}(8[\operatorname{cosec} x]-5[\cot x]) d x$ is equal to __________.
Correct Answer
14
Let $[t]$ denote the greatest integer $\leq t$. Then $\frac{2}{\pi} \int_\limits{\pi / 6}^{5 \pi / 6}(8[\operatorname{cosec} x]-5[\cot x]) d x$ is equal to __________.