Hi thanks for the help lately its been good. I don't post these unless a day goes by without a solution.

28-1-20

Integrate:

(int) 2 sqrt(1- e^(-x)) (e^-x) dx

therefore,

u = 1 - e^(-x)

du = - e^(-x)

General power form:

[1 - e^(-x)]^(3/2) / (3/2) + C

=

4/3 [1 - e^(-x)]^(3/2) + C

however here is the ti-89 answer:

somehow something has been added in the nominator.

how did I go wrong? Thanks!