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Definite Integration question

2022 · 25 Jul · Shift 2 · Q43

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JEE Main
Mathematics
Definite Integration
2022 · 25 Jul · Shift 2 · Q43

Definite Integration question

2022 · 25 Jul · Shift 2 · Q43

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

Let

{a_n} = \int\limits_{ - 1}^n {\left( {1 + {x \over 2} + {{{x^2}} \over 3} + \,\,.....\,\, + \,\,{{{x^{n - 1}}} \over n}} \right)dx}

for every n

\in

N. Then the sum of all the elements of the set {n}

\in

N : an

\in

(2, 30)} is

\underline{\hspace{2cm}}

.

Numerical answer

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