Final answer:
A precise function to integrate is required for a step-by-step solution, but we can use integration by parts and logarithmic identities to solve the indefinite integral of this type.
Step-by-step explanation:
The indefinite integral in question appears to be asking for the evaluation of ∠ x²ln(2x) dx. To compute this integral, one method we can use is integration by parts, which is based on the formula ∠ u dv = uv - ∠ v du. Considering the logarithmic function ln(2x), we can rewrite it using the math trick that relates the exponential and natural logarithm functions, allowing us to rewrite numbers using the natural logarithm. For instance, we can express 2 as eln(2) which simplifies our function. However, the given integral does not seem to match the context information provided. Therefore, a more precise question or a correctly written integral is needed to proceed with a step-by-step solution.