The value of 9 ∫₀⁹[√((10 x)/(x+1))] d x, where [t] denotes the greatest integer less than or equal to t, is

Integral Calculus: JEE Main 2024 Mathematics question

JEE Main 2024 · 30 Jan, Morning shift · Q32

JEE Main 202430 Jan, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

The value of

9 \int_\limits0^9\left[\sqrt{\frac{10 x}{x+1}}\right] \mathrm{d} x

, where

[t]

denotes the greatest integer less than or equal to

t

, is

Your answerType your answer. Integers and decimals are accepted.