Let I m = dx, for m ∈ N & m ≥ 2, such that mI m =(sinx + c…

Maths Indefinite Integral General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let I m = dx, for m ∈ N & m ≥ 2, such that mI m =(sinx + cosx) p . (sinx – cosx) + qI m–2 , then –

p = m +1 , q = 2(m + 1)

p = m –1, q = 2(m – 1)

2p = q

p = q

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(b, c)

I m = . (sin x + cos x) dx

= (sinx + cosx) m–1 (sinx – cosx)

+ (sinx + cosx) m–2 (sinx –cosx) 2 dx

= (sinx + cosx) m–1 .(sinx – cosx)

+(m–1) (–(sinx+cosx) 2 +2) dx

mI m = (sinx+cosx) m–1 (sinx–cosx)+2 (m–1)I m–2

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