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by parts

not sure if parts is necessary @TuringTest

not using the udv = uv - vdu?

I think parts is best here.

yes, use dv=1-x and u=ln(x)

can you show me the solution? i've done mine but it seems incorrect

no we cannot give direct answers here, why don't you try and show us how you do?

its pretty long. but my answer is
ln x [ x - (x^2/2) ] - x - (x^2/4) + C

yeah, u sub wouldn't work since u = ln(x), du = dx/x , x*du = dx.

but that answer is correct :)

oh I think except for a minus sign...
ln x [ x - (x^2/2) ] - x + (x^2/4) + C

thank you!!

welcome :)