Let [t] denote the greatest integer ≤ t. Then 2/(π) ∫ π / 6 ^(5 π / 6)(8[cosec x]-5[ cot x]) d x is equal to _ _ _ _ _.

Integral Calculus: JEE Main 2023 Mathematics question

JEE Main 2023 · 8 Apr, Morning shift · Q31

JEE Main 20238 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

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 __________.

Your answerType your answer. Integers and decimals are accepted.