Hi all,
can anybody find a solution for the integration of (e^x)/x ?
Best regards.
Just as an aside, this particular integral is known as the Exponential Integral
and is represented by Ei(x).
Actually, $\displaystyle \int_{x}^{\infty}\frac{e^{-t}}{t}dt$ is called the exponential integral and can be represented as an 'incomplete' Gamma function.
An incomplete Gamma function is $\displaystyle \int_{x}^{\infty}t^{n-1}e^{-t}dt$ for $\displaystyle x\neq 0$
By repeated integration by parts we can find several terms of the asymptotic series for the above integral.
Just some useless information for you
mathstuds series is easier.