Integration using a specific method

  • #1

Homework Statement


I am suppose to rearrange the integral in order to use this formula to solve it:
∫f'(x)/f(x)dx=ln|f(x)|+C


Homework Equations


My integral is ∫(e^x+1)/(e^x+e^-x+2).



The Attempt at a Solution


Any help?
 

Answers and Replies

  • #2
DryRun
Gold Member
838
4
To simplify the integral, let ##y=e^x## and break it into partial fractions.
 
Last edited:
  • #3
3,812
92
Write e^(-x) as 1/(e^x). Simplify and you should get the expression:
[tex]\frac{e^{2x}+e^x}{e^{2x}+2e^x+1}[/tex]
Can you now see which is f(x) and which is f'(x)?
 
  • #4
68
1
this is an easy way to do it

should get you started at least

xMu6i.jpg
 
  • #5
68
1
pranav got there before me... lol
 

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