JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \frac{1}{x^n\left(1+x^n\right)^{1 / n}} d x,(n \in N)

, is

View answer and explanation

Correct option: A

\frac{1}{1-n}\left\{1+\frac{1}{x^n}\right\}^{1-\frac{1}{n}}+C

Option A is correct because the integral is solved using a substitution method, resulting in the given expression with a fractional exponent.

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