The range of $f(x)=4 \sin ^{-1}\left(\frac{x^2}{x^2+1}\right)$ is

  • [JEE MAIN 2023]
  • A

    $[0, \pi]$

  • B

    $[0,2 \pi)$

  • C

    $[0, \pi)$

  • D

    $[0,2 \pi]$

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