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Integrate with respect to x: i) x ln x...

Integrate with respect to x: i) `x ln x`

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To solve the integral \( \int x \ln x \, dx \), we will use the method of integration by parts. Here are the detailed steps: ### Step 1: Identify the functions for integration by parts We will choose: - \( u = \ln x \) (which we will differentiate) - \( dv = x \, dx \) (which we will integrate) ### Step 2: Differentiate \( u \) and integrate \( dv \) ...
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