If I n = dx, then | CGP Edu

Maths Indefinite Integral General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If I n = dx, then

A

I n + I n – 2 =

B

I n–1 + I n+1 =

C

< 2 I n <

D

I n =

I n–2

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(a, b, c)

I n = dx

I n = x(sec 2 x – 1) dx

I n = x sec 2 x dx – dx

I n = – I n–2

I n + I n–2 = is correct

Replace n by (n + 1)I n+1 + I n–1 = is correct

Now x ∈ (0, π /4), tan n x < tan n–2 x

dx < dx

I n < I n–2 , I n < – I n 2I n <

Same line I n+2 < I n → < 2I n

< 2I n <

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