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# Tough Integral

This integral has always eluded me:

$\large \int e^{x} \ln(x) \, dx$

Does anyone know the general solution to it?

Note by Geoff Pilling
10 months, 3 weeks ago

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well,this can't be done until you introduce something called the exponential integral,you can read about it here,which doesn't have a closed form most of the time

the solution to the integral above is $e^x\ln(x)-\text{Ei}(x)$

where $$\text{Ei}$$ denotes the exponential integral · 10 months, 3 weeks ago

Ah, cool, thanks Hummus! I'll take a look at it when I get a chance! · 10 months, 3 weeks ago