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Solutions for integration by parts and improper integrals, demonstrating the evaluation of ∫x ln(x) dx and the limit calculation for ∫₀¹ x ln(x) dx using L'Hôpital's Rule.

A mathematical worksheet showing solutions for integration by parts and improper integrals, including exercises on integrating x ln(x) and evaluating the improper integral of x ln(x) from 0 to 1.

A mathematical worksheet showing solutions for integration by parts and improper integrals, including exercises on integrating x ln(x) and evaluating the improper integral of x ln(x) from 0 to 1.

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