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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Choose the correct options from the given alternatives : ∫dxcosxsin2x-cos2x⋅dx =

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प्रश्न

Choose the correct options from the given alternatives : 

`int dx/(cosxsqrt(sin^2x - cos^2x))*dx` =

पर्याय

  • `log(tanx - sqrt(tan^2x - 1)) + c`

  • sin–1 (tan x) + c

  • 1 + sin–1 (cot x) + c

  • `log(tanx + sqrt(tan^2x - 1)) + c`

MCQ
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उत्तर

`log(tanx + sqrt(tan^2x - 1)) + c`

[ Hint : `int dx/(cosxsqrt(sin^2x - cos^2x)`

= `int (sec2x*dx)/sqrt(tan2x - 1)`     ...[Dividing by cos2x]
Put tan x = t].

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Indefinite Integration - Miscellaneous Exercise 3 [पृष्ठ १४९]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Indefinite Integration
Miscellaneous Exercise 3 | Q 1.16 | पृष्ठ १४९

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

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