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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫dxx(x  +  1)\int \frac{{dx}}{{x\left( {x\,\, + \,\,1} \right)}} equals
Where cc is an arbitrary constant
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Correct option: B
log⁡  ∣ xx  +  1 ∣+c\log \,\,\left| {\,\frac{x}{{x\,\, + \,\,1}}\,} \right| + c
Option B, \log \,\,\left| {\,\frac{x}{{x\,\,+\,\,1}}\} \right| + c\log \,\,\left| {\,\frac{x}{{x\,\,+\,\,1}}\} \right| + c, is correct because the integral of the given expression can be solved using partial fractions, resulting in this logarithmic form.

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