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Definite Integration question

2023 · 8 Apr · Shift 1 · Q39

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 8 Apr · Shift 1 · Q39

Definite Integration question

2023 · 8 Apr · Shift 1 · Q39

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

Let

[t]

denote the greatest integer

\leq t

. Then

\frac{2}{\pi} \int_{\pi / 6}^{5 \pi / 6}(8[\operatorname{cosec} x]-5[\cot x]) d x

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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