JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{x^m-1}{x^{m+1} \sqrt{1-2 x^m+m x^{2 m}}} d x=\frac{f(x)}{m x^m}+c

where

f(x)

is equal to

View answer and explanation

Correct option: A

\sqrt{1-2 x^m+m x^{2 m}}

Option A (

\sqrt{{1-2 x^m+m x^{2 m}}}

) is correct because the integral simplifies to this expression after substitution and algebraic manipulation.

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