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does anyoe know how to find the integral of (ln x )^2
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You should set ln(x) = u
Then du=dx/x
But x=e^u from the definition of u.
So dx=e^(-u)du
You then use integration by parts a couple of times.
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Since the integrand is u^2e^(-u), pick on the u^2 as the part in IBP that you differentiate. When you repeat the process, eventually the derivative will be zero, and you'll be done.
Learn 'tabular integration by parts' http://en.wikipedia.org/wiki/Integration_by_parts You will be able to punch these out in a flash.
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