Integration of exponentials with a fractional power?

[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

Thanks in advance

 

[Hootenanny]

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

Thanks in advance

Welcome to PF,

What are we integrating with respect to?

 

[jamesd2008]

Think it is this,

 

[HallsofIvy]

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.