$\int\left(\sqrt{\frac{a+x}{a-x}}+\sqrt{\frac{a-x}{a+x}}\right) d x$ is equal to

  • A
    $2 \sin ^{-1}\left(\frac{x}{a}\right)+C$
  • B
    $2 a \sin ^{-1}\left(\frac{x}{a}\right)+C$
  • C
    $2 \cos ^{-1}\left(\frac{x}{a}\right)+C$
  • D
    $2 a \cos ^{-1}\left(\frac{x}{a}\right)+C$

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