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Integrate the functionsx^2logx...

Integrate the functions`x^2logx`

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To integrate the function \( x^2 \log x \), we will use the method of integration by parts. Let's go through the steps: ### Step 1: Identify \( u \) and \( dv \) We choose: - \( u = \log x \) (the function that is more difficult to integrate) - \( dv = x^2 \, dx \) (the function that is easier to integrate) ### Step 2: Differentiate \( u \) and integrate \( dv \) ...
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