12. Evaluate integrate
x log 2x dx
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ntegrate by parts using the formula ∫udv=uv−∫vdu ∫ u d v = u v - ∫ v d u , where u=log(2x) u = log ( 2 x ) and dv=1 d v = 1 . Simplify. Combine x x and 1xln(10) 1 x ln ( 10 ) . Cancel the common factor of x x .
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