MCQ
$\int \frac{ dx }{x^2+4 x+13}=?$
  • A
    $\frac{1}{6} \tan ^{-1}\left(\frac{x+2}{3}\right)+ C$
  • B
    $3 \tan ^{-1}\left(\frac{x+2}{3}\right)+C$
  • C
    $\frac{1}{6} \log \left(\frac{x-1}{x+5}\right)+ C$
  • $\frac{1}{3} \tan ^{-1}\left(\frac{x+2}{3}\right)+C$

Answer

Correct option: D.
$\frac{1}{3} \tan ^{-1}\left(\frac{x+2}{3}\right)+C$
D

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