Question:medium

If
\[ \int x \log\left(1 + \frac{1}{x}\right) \, dx = f(x) \log(x+1) + g(x) x^2 + Lx + C, \]
then

Show Hint

Look at the coefficient of the logarithmic term after integration.
Updated On: Mar 23, 2026
  • \(f(x)=\dfrac12x^2\)
  • \(g(x)=\log x\)
  • \(L=1\)
  • None of these
Show Solution

The Correct Option is A

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