Integrate: x^4+x^2+1 / x^2+x+1

Answers (1)

Solution:

           I=int fracx^4+x^2+1x^2+x+1dx\ \ Rightarrow hspace1cmI=int frac(x^2+x+1)(x^2-x+1)x^2+x+1dx\ \ Rightarrow hspace1cmI=int (x^2-x+1)dx \ \ Rightarrow hspace1cmI=fracx^33-fracx^22+x+c

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