Q114 / 160 · TS EAMCET 2025 (02 May Shift 2) · Mathematics

$\int \frac{x^3}{x^4+3 x^2+2} d x=$

  • Correct answer
    A
    $\log \left(\frac{x^2+2}{\sqrt{x^2+1}}\right)+\mathrm{c}$
  • B
    $\log \left(x^2+2\right)-2 \log \left(x^2+1\right)+\mathrm{c}$
  • C
    $\log \left(\frac{\left(x^2+2\right) x}{\sqrt{x^2+1}}\right)+\mathrm{c}$
  • D
    $\log \left(\frac{x^2+1}{\sqrt{x^2+2}}\right)+\mathrm{c}$

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

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