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Find d (x 4 +x 2 +1) / x 2 +x+1 dx Please tell me how do this question.

Find d   (x4+x2+1) / x2+x+1  
       dx
Please tell me how do this question.  

Grade:11

2 Answers

Ajay
209 Points
4 years ago
Numerator is divisible by denominator .
 
On dividing numerator by denominator the it is reduced to x2 -x +1
 
differentiating this we get 2x-1 as answer
SREEKANTH
85 Points
4 years ago
on dividing numerator with denominator:(x^4+x^2+1)/(x^2+x+1)=
                                                                                               =((x^2+x+1)(x^2-x+1)+1)/(x^2+x+1)
                                                                                               =(x^2-x+1)+1/(x^2+x+1)
on differentiating the resulted equation we will get 2x-1+(-2x-1)/(x^2+x+1)^2

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