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Sir please help me in finding the integral of ∫ x 2 (x 4 +4)dx/(x 2 +4)

Sir please help me in finding the integral of 
      ∫ x2(x4 +4)dx/(x2+4)

Grade:12

1 Answers

Aditya Gupta
2081 Points
3 years ago
Simply divide the numerator by denominator to get 
x^4-4x^2+20-80/(x^2+4)
Now use formula ∫x^ndx= x^(n+1)/(n+1)
For ∫dx/(x^2+4), put x= 2tany, and you are done

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