1.

Evaluate: `int(x^3)/((x-1)(x-2)) dx`

Answer» Correct Answer - `(x^(2))/(2)+3x-log |x-1|+8 log|x-2|+C`
`(x^(3))/((x-1)(x+2))=(x^(3))/((x^(2)-3x+2))=[x+3+(7x-6)/(x^(2)-3x+2)]={x+3+(7x-6)/((x-2)(x-1))}.`


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