State whether true or false: \(\int\log x\,dx=x\log x+x+c\).
Q.1 (B) (ii) State whether true or false: \(\int\log x\,dx=x\log x+x+c\).
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Answer: False
Integrating by parts, \(\int\log x\cdot1\,dx=x\log x-\int\frac{1}{x}\cdot x\,dx=x\log x-x+c\). The sign of \(x\) in the given statement is wrong.
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· 28 Oct 2026
AI-verified · Oct 2026
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