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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

∫xx+2 dx - Mathematics and Statistics

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प्रश्न

`int x/(x + 2)  "d"x`

बेरीज
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उत्तर

`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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पाठ 2.3: Indefinite Integration - Very Short Answers

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