integration of |(x^3+5x^2-3)/(x+2)dx
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Step-by-step explanation:
(x^3+5x^2-3)/(x+2) = x² + 3x -6 + 9/x+2
(x^3+5x^2-3)/(x+2)dx = {x² + 3x -6 + 9/x+2}dx
∫(x^3+5x^2-3)/(x+2)dx = ∫{x² + 3x -6 + 9/x+2}dx = x³/3 + 3x²/2 - 6x + 9ln(x+2) + A
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