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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

∫sin4xcos2xdx - Mathematics and Statistics

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प्रश्न

`int (sin4x)/(cos 2x) "d"x`

बेरीज
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उत्तर

`int (sin4x)/(cos 2x) "d"x`

= `int (sin2(2x))/(cos2x) "d"x`

= `int (2sin2x cos2x)/(cos 2x) "d"x`

= `2 int sin 2x  "d"x`

= `2*((-cos 2x))/2 + c`

= – cos 2x + c

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पाठ 2.3: Indefinite Integration - Very Short Answers

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