MCQ
$\int {\frac{1}{{{x^2} - 1}}} \,\,\ln \,\frac{{x - 1}}{{x + 1}}dx$ equals :
  • A
    $\frac{1}{2}$ $ln^2$ $\frac{{x - 1}}{{x + 1}}$ $+ c$
  • B
    $\frac{1}{4}$ $ln^2$ $\frac{{x - 1}}{{x + 1}}$ $+ c$
  • C
    $\frac{1}{4}$ $ln^2$ $\frac{{x + 1}}{{x - 1}}$ $+ c$
  • Both $(B)$ and $(C)$

Answer

Correct option: D.
Both $(B)$ and $(C)$
d
put $ln (x - 1) - ln (x + 1) = t$

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