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2019 MHT-CET PCM SET - 02 — MHT - CET STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMHT - CET2019 MHT-CET PCM SET - 021 Mark
MCQ
$\int \frac{x^2+1}{x^4-x^2+1} d x=?$
  • A
    $\tan ^{-1}\left(\frac{x^2+1}{2}\right)+ c$
  • ✓
    $\tan ^{-1}\left(\frac{x^2-1}{x}\right)+c$
  • C
    $\tan^{-1} (x^2) + c$
  • D
    $\tan^{-1} (2x^2- 1) + c$
✓

Answer

Correct option: B.
$\tan ^{-1}\left(\frac{x^2-1}{x}\right)+c$
$\tan ^{-1}\left(\frac{x^2-1}{x}\right)+c$

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