- #1

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## 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?

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- Thread starter Charlotte87
- Start date

- #1

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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

My integral is ∫(e^x+1)/(e^x+e^-x+2).

Any help?

- #2

DryRun

Gold Member

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To simplify the integral, let ##y=e^x## and break it into partial fractions.

Last edited:

- #3

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[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

should get you started at least

- #5

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pranav got there before me... lol

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