If I n = dx, then I n + nI n–1 is equal to -

Maths Indefinite Integral General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

x(log x) n

(x log x) n

(log x) n – 1

n(log x) n

Text Solution

Verified by Experts

The correct answer is:

I n = …(i)

∴ I n–1 = …(ii)

Now, I n = . 1 dx

= (log x) n x – n x dx

= x(log x) n – n dx

In = x (log x) n – n I n – 1 ∴ I n + nI n–1 = x(log x) n

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