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Suppose I wanted to solve:

[tex]\int log(x) log(x+1) dx[/tex] from 0 to 1.

I would turn ln(x+1) into a series, namely, –∑(-1)^n * x^n / n

Any ideas? Besides substituting, pulling out the n's, and using intgration by parts?

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# Using series to solve definite integrals

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