Indefinite integral substitution

  • Thread starter sapiental
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  • #1
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evaluate the indefinite integral ((e^x)/((e^x)+1))dx

I let u = ((e^x)+1)

then

du = (e^x)dx

which occurs in the original equation so..

indefinite ingegral ((u^-1)du)

taking the antiderivative I get 1 + C

is this right? thanks!!
 

Answers and Replies

  • #2
1,235
1
[tex] \int \frac{e^{x}}{e^{x}+1} dx [/tex]

it should be [tex] \ln|e^{x}+1| + C [/tex] because it is of the form [tex] \int \frac{du}{u}[/tex]
 
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