Integrate: x^4 /x+1

Answers (1)

Solution:

          I=int fracx^4x+1dx\ \ Rightarrow hspace1cmI=intfracx^4-1+1x+1dx \ \ Rightarrow hspace1cmI=int frac(x^2-1)(x^2+1)+1x+1dx \ \ Rightarrow hspace1cm I=int (x-1)(x^2+1)dx+int frac1x+1dx \ \ Rightarrow hspace1cmI=fracx44+fracx22-fracx33-x+ln left | x+1 
ight |+c

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