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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The integral ∫dxx2(x4+1)34\int \frac{d x}{x^2\left(x^4+1\right)^{\frac{3}{4}}} equals
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Correct option: D
−(x4+1x4)14+C-\left(\frac{x^4+1}{x^4}\right)^{\frac{1}{4}}+C
Option D (−(x4+1x4)14+C-\left(\frac{{x^4+1}}{{x^4}}\right)^{\frac{{1}}{{4}}}+C) is correct because it represents the result of the given integral after applying substitution and simplification.

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