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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫x2−1x32x4−2x2+1dx\int \frac{x^2-1}{x^3 \sqrt{2 x^4-2 x^2+1}} d x is equal to
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Correct option: D
2x4−2x2+12x2+C\frac{\sqrt{2 x^4-2 x^2+1}}{2 x^2}+C
Option D is correct because after substitution and simplification, the integral can be solved, resulting in 2x4−2x2+12x2+C\frac{\sqrt{2 x^4-2 x^2+1}}{2 x^2}+C.

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