Hi, I seem to be stumped with calculating this indefinite integral:

∫e^1/x−6x^2dx

I'm using integration by parts, but I can't find how to take the integral of e^1/x...how does it work?

Thank you, kind sirs!

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- Feb 17th 2013, 02:10 PMUBCBOYWhat is the integral of e^1/x?
Hi, I seem to be stumped with calculating this indefinite integral:

∫e^1/x−6x^2dx

I'm using integration by parts, but I can't find how to take the integral of e^1/x...how does it work?

Thank you, kind sirs!

- Feb 17th 2013, 02:17 PMILikeSerenaRe: What is the integral of e^1/x?
- Feb 17th 2013, 02:37 PMUBCBOYRe: What is the integral of e^1/x?
It doesn't exist? :(

I tried putting DNE on the system but it does not work. - Feb 17th 2013, 02:39 PMILikeSerenaRe: What is the integral of e^1/x?
As they say, it cannot be expressed with a finite number of standard functions.

- Feb 18th 2013, 01:21 AMJJacquelinRe: What is the integral of e^1/x?
Hi !

The integral of exp(1/x) cannot be expressed as a combination of a finite number of elementary functions. It's formal expression requires a special function, namely Ei(x).

integrate exp(1/x) - Wolfram|Alpha

Of course, it is possible to express the integral of exp(1/x) on the form of infinite series.