Q112 / 160 · AP EAMCET 2025 (22 MAY SHIFT 1) · Mathematics

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

  • A
    $\frac{2 \sqrt{x^4+x^2+1}}{x}+c$
  • Correct answer
    B
    $\frac{\sqrt{x^4+x^2+1}}{x}+c$
  • C
    $\frac{\sqrt{x^4+x^2+1}}{2 x}+c$
  • D
    $\frac{4 \sqrt{x^4+x^2+1}}{x}+c$

Hence, the correct answer is option: 'B'.

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