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

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MCQ

Choose the correct options from the given alternatives :

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

Options

  • `(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`

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Solution

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

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

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Chapter 3: Indefinite Integration - Miscellaneous Exercise 3 [Page 148]

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Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 3 Indefinite Integration
Miscellaneous Exercise 3 | Q 1.05 | Page 148

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