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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Integrate the following with respect to the respective variable : 3-2sinxcos2x

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प्रश्न

Integrate the following with respect to the respective variable : `(3 - 2sinx)/(cos^2x)`

बेरीज
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उत्तर

Let I = `int (3- 2sinx)/(cos^2x)*dx`

= `int(3/(cos^2x) - (2sinx)/(cos^2x))*dx`

= `3 int sec^2x*dx - 2int sec x tanx*dx`

= 3 tan x – 2 sec x + c.

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पाठ 3: Indefinite Integration - Miscellaneous Exercise 3 [पृष्ठ १५०]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Indefinite Integration
Miscellaneous Exercise 3 | Q 2.5 | पृष्ठ १५०

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