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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Evaluate: ∫π6π3cosx dx - Mathematics and Statistics

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प्रश्न

Evaluate: `int_(pi/6)^(pi/3) cosx  "d"x`

बेरीज
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उत्तर

`int_(pi/6)^(pi/3) cosx  "d"x = [sin x]_(pi/6)^(pi/3)`

= `sin  pi/3 - sin  pi/6`

= `sqrt(3)/2 - 1/2`

= `(sqrt(3) - 1)/2`

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Methods of Evaluation and Properties of Definite Integral
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पाठ 2.4: Definite Integration - Very Short Answers

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