MCQ
$\int \frac{\sqrt{x^2- a ^2}}{x} dx =?$
  • A
    $\sqrt{x^2- a ^2}+ asec ^{-1}\left(\frac{x}{ a }\right)+ c$
  • $\sqrt{x^2- a ^2}- a \cos ^{-1}\left(\frac{ a }{x}\right)+ c$
  • C
    $\sqrt{x^2- a ^2}+\frac{1}{x} \sec ^{-1}(x)+ c$
  • D
    $x \sqrt{x^2- a ^2}-\frac{1}{ a } \tan ^{-1}\left(\frac{x}{ a }\right)+ c$

Answer

Correct option: B.
$\sqrt{x^2- a ^2}- a \cos ^{-1}\left(\frac{ a }{x}\right)+ c$
B

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