How do I intregrate ln(x)?
To integrate ln(x) we will have to use integration by parts.
The equation for integration by parts is: (then equation written on the whiteboard).
In the case of ln(x), let v=ln(x) and let du/dx=1.Then dv/dx=1/x and u=x.
Putting these values into the equation for integration by parts, integrating ln(x) gives (better with a whiteboard) xln(x) - the integral of x/x = xln(x) - integral of 1 = xln(x) - x + c (don't forget the +c !!)
Hence the integral of ln(x) = xln(x) - x + c
IP
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