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please answer the (d)

please answer the (d)
 

Question Image
Grade:12

1 Answers

Yash Jain
55 Points
6 years ago
I = ∫ (3x3-5x2+4x-9)dx / (x2+2)
  = ∫ (3x-5)dx + ∫ (-2x+1)dx / (x2+2)  [Simple division]
  = 3x2/2 – 5x – ∫ 2xdx / (x2+2) + ∫ dx / (x2+2)
  = 3x
2/2 – 5x – log|x2+2| + 1/rt(2)*tan-1{x/rt(2)}
Hope its clear.

 

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