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Mathematics 11 Online
OpenStudy (anonymous):

i wana agenuse to integrate f(x) = e^(X^X)

OpenStudy (mathteacher1729):

Do you mean \[\int e^{x^x}dx\]

OpenStudy (anonymous):

yes i do i tried to solve it many times ... and i coudn`t

OpenStudy (mathteacher1729):

As far as I know, there is no solution to this integral in terms of any functions you would encounter ... all the way through undergraduate mathematics. :) You might want to use a series expansion for e^x and integrate THAT... but that's messy. Could be fun though!

OpenStudy (anonymous):

that's what I'm trying to do but then you still have to integrate x^(nx)

OpenStudy (anonymous):

still no nice solution

OpenStudy (anonymous):

x^(nx)/n! actually

OpenStudy (anonymous):

there isn't an antiderivative for x^x as far as I know

OpenStudy (anonymous):

at least not one in terms of elementary functions

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