Little help with this one? I can't quite see where its going.

∫2dx/(x^2-2x)

Thanks ya'll

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- April 17th 2010, 06:04 PMAudioslaveryTough Integral (Trig Sub?)
Little help with this one? I can't quite see where its going.

∫2dx/(x^2-2x)

Thanks ya'll - April 17th 2010, 06:12 PMGusbob
- April 17th 2010, 06:15 PMdwsmith
- April 17th 2010, 07:55 PMAudioslavery
Ah thank you, I used the partial fractions method (although I still lack confidence using that method, algebra was a big fail for me).

I ended up getting -ln|x| + ln|x-2|, I still need to evaluate this from 3 to ∞, I'm a little shaky regarding ∞ and natural log.

so it ends up being [-ln|∞| + ln|∞-2|] - [ln|3| + ln|3-2|]

the final answer is supposedly LN|3| according to my book, am I on the right track? - April 17th 2010, 08:02 PMdwsmith