Integrate: (x^4+x^2+1) dx^2

Answers (1)

Solution:  

          I=int (x^4+x^2+1)dx^2\ \ Let hspace1cmx^2=t\ \ Rightarrow hspace1cmI=int (t^2+t+1)dt\ \ Rightarrow hspace1cmI=fract^33+fract^22+t+c \ \ Rightarrow hspace1cmI=fracx^63+fracx^42+x^2+c

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