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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫1+x4(1−x4)3/2dx\int \frac{1+x^4}{\left(1-x^4\right)^{3 / 2}} d x is equal to
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Correct option: B
11x2−x2+C\frac{1}{\sqrt{\frac{1}{x^2}-x^2}}+C
Option B (11x2−x2+C\frac{{1}}{{\sqrt{{\frac{{1}}{{x^2}}-x^2}}}}+C) is correct because it is the result of the integration after appropriate substitution and simplification.

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