Let x and [x] denote the fractional part of x and the greatest integer ≤ x respectively of a real number x. If ∫₀ⁿ x,∫₀ⁿ [ x ]dx and 10(n² – n), (n N,n > 1) are three consecutive terms of a G.P., then n is equal to _ _ _.

Integral Calculus: JEE Main 2020 Mathematics question

JEE Main 2020 · 4 Sep, Evening shift · Q25

JEE Main 20204 Sep, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

Let {x} and [x] denote the fractional part of x and the greatest integer

\le

x respectively of a real number x. If

\int_0^n {\left\{ x \right\}dx} ,\int_0^n {\left[ x \right]dx}

and 10(n² – n),

\left( {n \in N,n > 1} \right)

are three consecutive terms of a G.P., then n is equal to_____.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2020 Integral Calculus Question with Answer (4 Sep Evening shift, Q25) | JEE Arc