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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
The integral ∫dxx2(x4+1)1/4\int \frac{d x}{x^2\left(x^4+1\right)^{1 / 4}} equals
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Correct option: B
−(x4+1x4)14+c-\left(\frac{x^4+1}{x^4}\right)^{\frac{1}{4}}+c
Option B (−(x4+1x4)14+c-\left(\frac{x^4+1}{x^4}\right)^{\frac{1}{4}}+c) is correct because after substitution and integration, the integral evaluates to this expression.

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