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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The value of ∫1+xxdx\int \frac{\sqrt{1+x}}{x} d x, is
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Correct option: A
21+x+log⁡∣1+x−11+x+1∣+C2 \sqrt{1+x}+\log \left|\frac{\sqrt{1+x}-1}{\sqrt{1+x}+1}\right|+C
Option A is correct because the integral is solved using a substitution method, resulting in the given expression with a logarithmic term.

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