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A Problem with Integrate

When I try the following indefinite integral:

Integrate[1/(E^t*(t^3*(-1 + μ*t))), t]

under 5.2, I get

Power::infy : Infinite expression 1/0^2 encountered. More ...


That is, it somehow gets 1/0^2, and returns an answer of zero. On the 
other hand, if I leave out the exponential and just integrate

Integrate[1/(t^3*(-1 + t*μ)), t]

It works just fine. A plot of the integrand and a numerical integration 
works, just the symbolic chokes.

Any ideas would be appreciated.



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