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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Choose the correct options from the given alternatives : ∫tan(sin-1x)⋅dx = - Mathematics and Statistics

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प्रश्न

Choose the correct options from the given alternatives :

`int tan(sin^-1 x)*dx` =

पर्याय

  • `(1 - x^2)^(-1/2) + c`

  • `(1 - x^2)^(1/2) + c`

  • `tan^m x/sqrt(1 - x^2) + c`

  • `- sqrt(1 - x^2) + c`

MCQ
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उत्तर

`-sqrt(1 - x^2) + c`

`["Hint" : sin^-1x = tan^-1 (x/sqrt(1 - x^2))].`

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Indefinite Integration - Miscellaneous Exercise 3 [पृष्ठ १४८]

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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 1.05 | पृष्ठ १४८

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