(integral sign)x^e^-x3

Question

anonymous · Answer

if you really mean 
$$\int x^{e^{-x^3}}dx$$ you are on your own for this one

turingtest · Answer

Yes, wolfram says there are no know standard functions for this solution. http://www.wolframalpha.com/input/?i=integral+x%5Ee%5E%28-x%5E3%29dx

turingtest · Answer

known*

turingtest · Answer

neither for$$ \int\limits x^{e^{-3x}}dx$$

anonymous · Answer

yes thats what i meant. Are you saying it cannot ne soved?

mr.math · Answer

Even $xe^{-x^3}$ can't be integrated to an elementary function.

turingtest · Answer

http://www.wolframalpha.com/input/?i=integral+x%5Ee%5E%28-3x%29dx

turingtest · Answer

neither have elementary representations

mr.math · Answer

However if you have limits for the integration then its value can be estimated.

anonymous · Answer

oh ok, i see. there is no limits though
how about ( integral sign)6x^5 lnx dx
that can be solved right?

anonymous · Answer

would this be integration by parts i do belive the 1st one and second one can be solved by such

turingtest · Answer

yes, integration by parts will work for the other

turingtest · Answer

u=lnx
dv=6x^5

turingtest · Answer

The first one; no way, simply not possible to use integration by parts.
Ask someone like Zarkon or JamesJ to tell you more detail about what approaches are possible with this problem.

anonymous · Answer

ok thanks i understand i read what u sent. i will