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Impossible integral?

Name: Anonymous 2007-12-06 10:13

Just curious about this indefinite integral:

int{ (1/x)*[log(1+x)]dx }

is it integrable?

Name: Anonymous 2007-12-06 10:16

ofc i tried by parts, by substitution, asked my analysis teacher who says it's impossible, do i trust him?

Name: Anonymous 2007-12-06 12:28

(%i1) integrate(log(1+x)/x,x);
(%o1) log(-x)*log(x+1)+li[2](x+1)

Name: Anonymous 2007-12-07 1:25

you analysis teacher should be fired

Name: Anonymous 2007-12-07 9:50

express it as a power series, fuck closed form.

Name: Anonymous 2007-12-09 1:27

I put it into http://integrals.wolfram.com/ and I came up with:

-Li2(-x) where Lin(x) is the polylogarithm function.

Name: Anonymous 2007-12-18 17:09

ok, he told me something about this lin(x), sorry bout my ignorance.

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