e u substitution

[Dorian Gray]

Greetings Mathematicians,

I am stuck on a problem involving u substitution with e. Here is a copy of my work. Please let me know if I am headed in the right direction or if I need to change my path. Thank you!

 

[srmichael]

Greetings Mathematicians,

I am stuck on a problem involving u substitution with e. Here is a copy of my work. Please let me know if I am headed in the right direction or if I need to change my path. Thank you!View attachment 1908

Dorian, do you see that you can break the initial integral into two separate integrals?

(e^x+1)/e^x = 1 + 1/e^x

Now, can you take it from here??

 

[Dorian Gray]

 

[srmichael]

View attachment 1909

1/e^x = e^(-x). Let u = -x and go go go.

 

[Dorian Gray]

Got it!!!! Thank you!