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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Evaluate the following integrals : ∫cos2xsin2xdx

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प्रश्न

Evaluate the following integrals:

`int (cos2x)/sin^2x dx` 

बेरीज
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उत्तर

`int (cos2x)/sin^2x dx`

= `int((1 - 2sin^2x))/sin^2x  dx`

= `int(1/sin^2x - (2sin^2x)/sin^2x)dx`

= `int "cosec"^2x  dx - 2 int dx`

= – cot x – 2x + c.

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पाठ 3: Indefinite Integration - Exercise 3.1 [पृष्ठ १०२]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Indefinite Integration
Exercise 3.1 | Q 2.04 | पृष्ठ १०२

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