Question Number 113865 by Ar Brandon last updated on 15/Sep/20

Consider the series I_n =∫_1 ^e x(lnx)^n dx and I_0 =∫_1 ^e xdx  Which of the following is true ?  a\ 0≤I_n ≤(e^2 /(n+2))    b\1≤I_n ≤(e^2 /(n+1))  c\I_n  is negative