MCQ
$\int \frac{1}{\left(x^2+1\right)^2} d x=$
  • A
    $\tan ^{-1} x-\frac{1}{2 x\left(x^2+1\right)}+ c$
  • B
    $\tan ^{-1} x+\frac{1}{2\left(x^2+1\right)}+ c$
  • $\frac{1}{2} \tan ^{-1} x+\frac{x}{2\left(x^2+1\right)}+ c$
  • D
    $\tan ^{-1} x+\frac{1}{x^2+1}+ c$

Answer

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

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