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Solve any one of the following.
Evaluate: ∫ (log x)² dx
Evaluate: $\int (\log x)^2\,dx$
Answer
Answer
Integral: $\int \left((ln(x))^2\right) dx$
$\int(\log x)^2\cdot1\,dx=x(\log x)^2-\int x\cdot2\log x\cdot\frac1x\,dx=x(\log x)^2-2\int\log x\,dx$
$\int\log x\,dx=x\log x-x$
Final answer: $x(\log x)^2-2x\log x+2x+C$