# Integration of exponentials with a fractional power?

1. Dec 22, 2008

### jamesd2008

Could anyone explain to me the rule when Integrating of exponentials with a fractional power?

e.g. ue to the power of -t/T. ue^-t/T

2. Dec 22, 2008

### Hootenanny

Staff Emeritus
Welcome to PF,

What are we integrating with respect to?

3. Dec 22, 2008

### jamesd2008

Think it is this,

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4. Dec 23, 2008

### HallsofIvy

Staff Emeritus
Many people will not open "doc" files because they are notorious for viruses. Please just answer the question.

It looks to me like this just requires a simple substitution. Assuming you are integrating with respect to t, to integrate e^(t/T), let u= t/T. Then du= dt/T or dt= du/T.