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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫dxx(x4+1)\int \frac{\mathrm{d} x}{x\left(x^4+1\right)} is equal to
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Correct option: B
14log⁡(x4x4+1)+C\frac{1}{4} \log \left(\frac{x^4}{x^4+1}\right)+C
Option B (14log⁡(x4x4+1)+C\frac{1}{4} \log \left(\frac{x^4}{x^4+1}\right)+C) is correct because it is the result of integrating the given expression using substitution and partial fractions.

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