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Saturday, 31 October

JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 25 July 2022, Shift 2, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

Let an=∫−1n(1+x2+x23+……+xn−1n)dxa_n=\int_{-1}^{n}\left(1+\frac{x}{2}+\frac{x^2}{3}+\ldots\ldots+\frac{x^{n-1}}{n}\right)dx for every n∈Nn\in\mathbb{N}. Then the sum of all the elements of the set {n∈N:an∈(2,30)}\{n\in\mathbb{N}:a_n\in(2,30)\} is ___________.

Official answer

5

NTA final key.

Chapter
Integrals
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.