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Homework Statement
[tex]
\int \ln(2x+1)dx
[/tex]
Homework Equations
The Attempt at a Solution
[tex]u = \ln (2x +1)[/tex]
[tex]du = \frac{2}{2x+1}[/tex]
[tex]dv = dx[/tex]
[tex]v = x[/tex][tex]
xln(2x+1) - \int \frac {2x}{2x+1}dx
[/tex]I'm not sure how to proceed. Do I separate the fraction in the integrand or do long division?
I think I separate the fraction but I don't remember how. So I guess the question is how do I separate the fraction in the integrand?