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Originally Posted by Krizalid Find
Now just simplify.
Originally Posted by Krizalid Find by parts u=ln(x+1) dv=xdx
rewriting the integrand we get
I knew Hacker would use series, I was thinkin' the same too, even I like double integration tricks:
Now by reversing integration order the rest is routine. (And yes, the answer is )
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