$$I=$$∫$$x2$$−$$1x32x4$$−$$2x2+1dx$$ equal to

Correct option is 42x4−2x2+12x2+C

Questions

$I = \int \frac{x^{2} - 1}{x^{3} \sqrt{2 x^{4} - 2 x^{2} + 1}} d x$ equal to

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2x4−2x2+1+C

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2x4−2x2+12x2+C

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detailed solution

Correct option is D

I=∫1/x3−1/x52−2/x2+1/x4dxput 2−2x2+1x4=t2⇒4x3+4x5dx=2tdt∴ I=12∫tdtt=12t+C=122−2x2+1x4+C=2x4−2x2+12x2+C

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I=∫x2−1x32x4−2x2+1dx equal to

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$I = \int \frac{x^{2} - 1}{x^{3} \sqrt{2 x^{4} - 2 x^{2} + 1}} d x$ equal to