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Answer to Question #31086 in Integral Calculus for Aaron Okievs.

Question #31086
Integrate with respect to x: ∫ x^2/((x-2)(x^2+1)) dx

4/5 ln⁡(x-2)+2/5 tan^(-1) x+c

4/5 ln(x-2)+1/5 ln⁡(x^2+1)+2/5 tan^(-1) x+c

4/5 ln(x-2)+1/10 ln⁡(x^2+1)+2/5 tan^(-1) x+c

4/5 ln(x-3)+1/10 ln⁡(x^2+1)+2/5 tan^(-1) x+c
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