JEE Main 202225 Jul, Evening shiftMathematicsMediumIntegral Calculus369× since 2002Let an=∫−1n(1+x2+x23+ ..... + xn−1n)dx{a_n} = \int\limits_{ - 1}^n {\left( {1 + {x \over 2} + {{{x^2}} \over 3} + \,\,.....\,\, + \,\,{{{x^{n - 1}}} \over n}} \right)dx}an=−1∫n(1+2x+3x2+.....+nxn−1)dx for every n ∈\in∈ N. Then the sum of all the elements of the set {n ∈\in∈ N : a_n ∈\in∈ (2, 30)} is ____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
