Version 8.0 integrates but Version 9.0.1 doesn't

Bug introduced in 9.0 and fixed in 10.1

I am trying to run the following integral in version 9.0, but it fails:

Integrate[
2 I (-1 +
x) ((-8 + 12 x - 6 mπ^2 x - 2 mπ^2 x^2 -
4 x^3)/((1 - x)^2 +
mπ^2 x) + ((4 - 2 x + 4 mπ^2 x - 8 x^2 +
6 mπ^2 x^2 + 6 x^3) Log[
1/((1 - x)^2 + mπ^2 x)])/((1 - x)^2 + mπ^2 x)), {x, 0,
1}, Assumptions -> mπ > 0 && mπ < .1]


Version 9.0.1:

But in version 8.0, it works:

Is this a bug, or is the integral really non-convergent? What's a possible workaround, since I don't have easy v8 access?

• BTW shouldn't there a space between m and pi, or is this intentional? – Sjoerd C. de Vries Mar 8 '13 at 22:59
• $m\pi$ represents a single symbol. – QuantumDot Mar 8 '13 at 23:00
• I can reproduce this, but in future, please do not use the bugs tag until a few users have confirmed the behaviour. – rm -rf Mar 8 '13 at 23:03
• Thanks for reproducing; I have removed the bugs tag. – QuantumDot Mar 8 '13 at 23:04
• Thanks god 2πR can't be used as a symbol name – Dr. belisarius Mar 8 '13 at 23:21