JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \frac{x^2-1}{x \sqrt{x^4+3 x^2+1}} d x=\log _e(f(x))+c

where

f (x)

is given by

View answer and explanation

Correct option: D

\frac{1}{x}\left(x^2+1+\sqrt{x^4+3 x^2+1}\right)

Option D (

\frac{1}{x}\left(x^2+1+\sqrt{x^4+3 x^2+1}\right)

) is correct because after simplifying and integrating, the result matches the given form with this f(x).

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