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Definite Integration question

2020 · 4 Sep · Shift 2 · Q35

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PYQ Library
JEE Main
Mathematics
Definite Integration
2020 · 4 Sep · Shift 2 · Q35

Definite Integration question

2020 · 4 Sep · Shift 2 · Q35

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

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 \gt 1} \right)

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

\underline{\hspace{2cm}}

.

Numerical answer

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