Math Problem Statement
Use integration by parts to calculate the following integrals. 𝐼= ∫𝑥^(2)ln(2𝑥)𝑑𝑥
Solution
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Math Problem Analysis
Mathematical Concepts
Integration by Parts
Logarithmic Functions
Polynomial Functions
Formulas
Integration by Parts: ∫u dv = uv - ∫v du
Basic Power Rule for Integration: ∫x^n dx = (x^(n+1))/(n+1)
Theorems
Integration by Parts Theorem
Suitable Grade Level
College-level Calculus