Mathematics - Definite Integration Question with Solution | TestHub

Let$\left\{x\right\}$and$\left[x\right]$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$10\left(n^2-n\right),(n\in N,n>1)$are three consecutive terms of a G.P. then$n$is equal to__