Home Maths Definite Integral and Area Under Curves Integration as a Limit of Sum and Reduction Formula Let Ι n = then
Maths Definite Integral and Area Under Curves Integration as a Limit of Sum and Reduction Formula Single Correct MCQ
Published on: August 12, 2026

Let Ι n = then

A
3n Ι n = (3n – 1) Ι n–1 ∀ n ≥ 2
B
(3n – 1) Ι n = 3n Ι n–1 ∀ n ≥ 2
C
(3n – 1) Ι n = (3n + 1) Ι n–1 ∀ n ≥ 2
D
(3n + 1) Ι n = 3n Ι n–1 ∀ n ≥ 2

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Text Solution

Verified by Experts
The correct answer is:
D

Ι n = = (1 – x 3 ) n . – 3n

⇒ Ι n = 0 – 3n( Ι n – Ι n–1 ) ⇒ (3n + 1) Ι n = 3n Ι n–1

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