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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

∫e(2x)+e-2xex dx

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प्रश्न

`int ("e"^(2x) + "e"^(-2x))/("e"^x)  "d"x`

बेरीज
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उत्तर

`int ("e"^(2x) + "e"^(-2x))/("e"^x)  "d"x = int("e"^x + "e"^(-3x))  "d"x`

= `"e"^x - ("e"^(-3x))/3 + "c"`

= `"e"^x - 1/(3"e"^(3x)) + "c"`

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पाठ 2.3: Indefinite Integration - Very Short Answers

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