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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫d(ln⁡x)x+1=\int \frac{d(\ln x)}{x+1}=
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Correct option: C
ln⁡∣xx+1∣+c\ln \left|\frac{x}{x+1}\right|+c
Option C, ln⁡∣xx+1∣+c\ln \left|\frac{{x}}{{x+1}}\right|+c, is correct because the integral of d(ln⁡x)x+1\frac{{d(\ln x)}}{{x+1}} can be solved by substitution, leading to this result.

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