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Evaluate the following integrals: ∫xx+2.dx

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प्रश्न

Evaluate the following integrals:

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

बेरीज
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उत्तर

`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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पाठ 3: Indefinite Integration - Exercise 3.1 [पृष्ठ १०२]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Indefinite Integration
Exercise 3.1 | Q 3.01 | पृष्ठ १०२

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