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Maths Indefinite Integral General Single Correct MCQ

Published on: August 14, 2026

Let I n = , where n ∈ N and n > 1. If I n and I n – 1 are related by the relation PI n = + Q I n – 1 . Then P and Q are respectively given by -

(2n – 1)a 2 , 2n – 3

2a 2 (n – 1), 2n – 3

a 2 (n + 1), 2n + 3

None of these

Text Solution

Verified by Experts

The correct answer is:

I n = = .

x – . xdx

[Integrating by parts using 1 as second function]

∴ I n = + 2n dx

= + 2n(I n – a 2 I n+1 )

⇒ 2na 2 I n+1 = + (2n – 1)I n Replace n by n – 1,

then 2(n – 1)a 2 I n = + (2n – 3)I n–1

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