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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The value of ∫1x2(x4+1)3/4dx\int \frac{1}{x^2\left(x^4+1\right)^{3 / 4}} d x, is
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Correct option: B
−(1+1x4)1/4-\left(1+\frac{1}{x^4}\right)^{1 / 4}
Option B is correct because the integral simplifies to -(1 + 1/x4)(1/4) + C after substitution and simplification.

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