Evaluate : \(\int \log x \, dx\).
Q.10 Evaluate : \(\int \log x \, dx\).
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Answer: \(x\log x - x + c\)
Write \(\int \log x \cdot 1 \, dx\) and integrate by parts with \(u = \log x\), \(v = 1\):
\(\int \log x \, dx = \log x \cdot x - \int \frac{1}{x} \cdot x \, dx = x\log x - \int 1\,dx = x\log x - x + c\).
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· 29 Oct 2026
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