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Evaluate the following integrals: ∫xx+2.dx - Mathematics and Statistics

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Question

Evaluate the following integrals:

`int x/(x + 2).dx`

Sum

Solution

`int x/(x + 2).dx`

= `int((x + 2) - 2)/(x + 2).dx`

= `int ((x + 2)/(x + 2) - 2/(x + 2)).dx`

= `int 1 dx - 2 int 1/(x + 2).dx`

= x – 2 log |x + 2| + c.

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Chapter 3: Indefinite Integration - Exercise 3.1 [Page 102]

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