Choose the correct options from the given alternatives : ∫cos-37x⋅sin-117x⋅dx = - Mathematics and Statistics

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MCQ

Choose the correct options from the given alternatives :

`int cos -(3)/(7)x*sin -(11)/(7)x*dx` =

Options

  • `log (sin^(-4/7) x) + c`

  • `(4)/(7)tan^(4/7) x + c`

  • `-(7)/(4)tan^(-4/7) x + c`

  • `log (cos^(3/7) x) + c`

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Solution

`-(7)/(4)tan^(-4/7) x + c`

[ Hint : `int cos^(-3/7)x sin^(-11/7)x*dx`

= `int (sin^(-11/7)x)/(cos^(-11/7)x*cos^2x)*dx`

= `int tan^(-11/7)x sec^2x*dx`
Put tan x = t].

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Chapter 3: Indefinite Integration - Miscellaneous Exercise 3 [Page 149]

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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 1.14 | Page 149

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