Question:medium

Compute \(\int \log x \, dx\)

Show Hint

To verify any integration result quickly, differentiate the options.
Taking the derivative of Option (B):
\[ \frac{d}{dx}(x \log x - x + C) = \left( 1 \cdot \log x + x \cdot \frac{1}{x} \right) - 1 = \log x + 1 - 1 = \log x \] This confirms the result immediately.
  • \(\log x - x + C\)
  • \(x \log x - x + C\)
  • \(\log x + x + C\)
  • \(x \log x + x + C\)
Show Solution

The Correct Option is B

Solution and Explanation

Was this answer helpful?
0