JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of

\int \frac{\ell n |x|}{x \sqrt{1+\ell n |x|}} d x

equals:

View answer and explanation

Correct option: A

\frac{2}{3} \sqrt{1+\ell n|x|}(\ell n|x|-2)+C

Option A (

\frac{2}{3} \sqrt{1+\ell n|x|}(\ell n|x|-2)+C

) is correct because it results from a u-substitution and subsequent integration.

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