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∫xx+2 dx

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Question

`int x/(x + 2)  "d"x`

Sum
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Solution

`int x/(x + 2)  "d"x = int ((x + 2) - 2)/(x + 2) "d"x`

= `int(1 - 2/(x + 2)) "d"x`

= `int 1 *"d"x - 2 int 1/(x + 2)  "d"x`

= x − 2log |x + 2| + c

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Chapter 2.3: Indefinite Integration - Very Short Answers

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