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Can you please provide some thoughts / ideas / help in computing this definite integral? Any help will be great...I am so stuck with this one.

$$\int_0^\infty e^{ax+bx^c}~dx$$

where $a< 0$ , $b< 0$ and $c> 0$ .

It looks like this one might not have a clean analytical solution but is there any standard form that this reduces to?

Thanks a lot for your help
Trambak

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    I don't think there will be a general standard form since this highly depends on the value of $c$.2012-09-28

4 Answers 4