please answer the (d)

Grade 12

1 Answers

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)
= 3x²/2 – 5x – log|x²+2| + 1/rt(2)*tan^-1{x/rt(2)}
Hope its clear.

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