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Integrate.

The Correct Answer and Explanation is: We are asked to evaluate the definite integral:∫15ln⁡(3x) dx\int_1^5 \ln(3x) \, dx∫15​ln(3x)dx Step 1: Use the logarithmic identity Recall the identity:ln⁡(3x)=ln⁡3+ln⁡x\ln(3x) = \ln 3 +…

Evaluate the integral

The Correct Answer and Explanation is: We are given the integral:∫(2x−1)ln⁡(3x) dx\int (2x – 1)\ln(3x)\, dx∫(2x−1)ln(3x)dx This integral involves a product of functions, so we apply integration by parts: Step 1:…