Q113 / 160 · AP EAMCET 2017 (26 Apr Shift 2) · Mathematics

$\int \frac{\log _e x}{\left(1+\log _e x\right)^2} d x=$

  • A
    $-\frac{x}{1+\log _e x}+C$
  • B
    $\frac{x}{\left(1+\log _e x\right)^2}+C$
  • Correct answer
    C
    $\frac{x}{\left(1+\log _e x\right)}+C$
  • D
    $\frac{-x}{\left(1+\log _e x\right)^2}+C$

Hence, the correct answer is option: 'C'.

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