Integrate: x+2 / (x+1)^2

Answers (1)

Solution:  

           I=int fracx+2(x+1)^2dx\ \ Rightarrow hspace1cmI=int fracx+1+1(x+1)^2dx\ \ Rightarrow hspace1cmI=int (fracx+1(x+1)^2+frac1(x+1)^2)dx \ \ Rightarrow hspace1cmI=ln left | x+1 
ight |-frac1x+1+c

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