Question:medium

$\int\frac{\log(1+x)}{(1+x)}dx=$ ________.

Show Hint

If an integral is of the form $\int f(x) f'(x) dx$, the answer is $\frac{[f(x)]^2}{2} + C$.
Updated On: Jun 24, 2026
  • $\frac{1}{2}\log(1+x)+C$
  • $\frac{1}{2}[\log(1+x)]^{2}+C$
  • $[\log(1+x)]^{2}+C$
  • $\log(1+x)+C$
  • $x \log(1+x)+C$
Show Solution

The Correct Option is B

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