integration from 0 to infinity, of exp(-x) * x^n with respect to x. can you please help me to calculate this???
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Define $\displaystyle f(n)\equiv\int_0^{\infty}x^ne^{-x}\,dx$ and use integration by parts to show that: $\displaystyle f(n)=nf(n-1)$ and hence: $\displaystyle f(n)=n!$
by the way how do you post in integral typeset like that?
It is done using $\displaystyle \LaTeX$. There is a forum here dedicated to its usage, and there are many good tutorials online too.
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