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This is not A Homework problem, I am just wondering.

  1. May 4, 2010 #1
    What would the integral of ln|x| be.
  2. jcsd
  3. May 4, 2010 #2
    Applying integration by parts which states

    [tex]\int u\frac{dv}{dx}\,dx = uv - \int v \frac{du}{dx}\,dx [/tex]
    [tex]u=ln(x)[/tex] and [tex] v=x [/tex] So [tex] \int ln(x)\,dx = xln(x) - \int x\frac{1}{x}\,dx = xln(x)-x+c[/tex]
  4. May 4, 2010 #3
    I wouldn't have thought to use parts. Thanks, I appreciate it
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