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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫1x2(x4+1)3/4dx\int \frac{1}{x^2\left(x^4+1\right)^{3 / 4}} d x is equal to
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Correct option: B
−(1+1x4)1/4+c-\left(1+\frac{1}{x^4}\right)^{1 / 4}+c
Option B (-(1+1x4)1/4+c(1+\frac{1}{x^4})^{1 / 4}+c) is correct because it is the result of integrating the given expression using substitution.

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