(adsbygoogle = window.adsbygoogle || []).push({}); Need help, soon please!! Integrating

I am struggling to integrate this function since last night but,it seems like it is a dead end doing it.

how would you integrate this function

integral x^n e^(-x^(n-1)) dx

i tried the parcial method, and went like this

integ x^(n-2) x^2 e^(-x^(n-1))= then i did this u=x^2,du=2xdx

v=integ x^(n-2) e^(-x^(n-1)), then i took the substitution

-x^(n-1)=t

-(n-1)x^(n-2)dx=dt

x^(n-2)dx=-1/(n-1)dt, than i get

-1/(n-1)integ e^t dt=-1/(n-1) e^(-x^(n-1))

then using the formula uv-integ vdu, i get

-1/(n-1)x^2 e^(-x^(n-1))+ 2/(n-1) integ e^(-x^(n-1)) xdx,

so the problem is how to integrate now this

integ e^(-x^(n-1)) xdx, i could expand it using taylor formula, but i just have a feeling that it should be done using some other methods.!!

I do not know if my approach is correct at first place, i might be missing something here.

Any help please?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Need help, soon please Integrating

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**