How do you integrate $(x+1)/(x^2+2x+1)$ ?

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Answer 1 · 2015-02-25T19:45:32

The answer is: $ln|x+1|+c$ .

this is because our function could be simplified:

$y=(x+1)/(x+1)^2rArry=1/(x+1)$ ,

than:

$int1/(x+1)dx=ln|x+1|+c$ .

How do you integrate (x+1)/(x^2+2x+1)(x+1)/(x^2+2x+1)?