Wednesday, December 21, 2011

Find the indefinite integral x ln(2x) dx

Integrate x ln(2x) dx:





We will use integration by parts to solve this equation.

Assign as follows: u = ln(2x) and dv = x dx. Then solve for du and v.



Now plug each part into the "Integration by Parts" equation above.

Simplified:

Integrating the right side will give us our final answer:


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