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Question
Integrate the following with respect to x.
`(x^3 + 3x^2 - 7x + 11)/(x + 5)`
Sum
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Solution
`int (x^3 + 3x^2 - 7x + 11)/(x + 5) "d"x`
= `int [(x^2 - 2x + 3) - 4/((x + 5))] "d"x`
= `[x^3/3 - (2x^2)/2 + 3x] - 4 log |x + 5| + "c"`
= `x^3/3 - x^2 + 3x 4 log |x + 5| + "c"`
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