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Question
Evaluate the following:
`int ((x^2 + 2))/(x + 1) "d"x`
Solution
I = `int (x^2 + 2)/(x + 1) "d"x`
= `int (x^2 - 1 + 3)/(x + 1) "d"x`
= `int ((x - 1)(x + 1) + 3)/(x + 1) "d"x`
= `int (x - 1 + 3/(x + 1)) "d"x`
= `int (x - 1) "d"x + 3int 1/(x + 1) "d"x`
= `x^2/2 - x + 3 log |(x + 1)| + "C"`
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