Hello! I'm stuck on the following integral: integrate 1 / (1 + ae^x) dx with a = constant term > 0... Thank you!

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- Dec 30th 2012, 06:27 PMjones123Integral
Hello! I'm stuck on the following integral: integrate 1 / (1 + ae^x) dx with a = constant term > 0... Thank you!

- Dec 30th 2012, 06:36 PMskeeterRe: Integral

can you integrate the last expression on your own? - Dec 30th 2012, 06:59 PMAhasuerosRe: Integral
substitute and

multiply integral by , so your integral becomes

using the u substitutions

note:

then using partial fractions

-> and

so and

your new integral becomes

you should be able to do the rest

Edit: skeeter's way is much faster (didn't see his post before posting this) - Dec 30th 2012, 11:17 PMsbhatnagarRe: Integral
You can substitute .