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∫1cosx-sinx dx = _______________

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Question

`int 1/(cos x - sin x)` dx = _______________

Options

  • `1/sqrt2 log ["cosec" (x + π/4) - cot (x + π/4)] + "c"`

  • `sqrt2 log ["cosec" (x + π/4) + cot (x + π/4)] + "c"`

  • `1/sqrt2 log [sec (x + π/4) + tan (x + π/4)] + "c"`

  • `sqrt2 log [sec (x + π/4) - tan (x + π/4)] + "c"`

MCQ
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Solution

`1/sqrt2 log [sec (x + π/4) + tan (x + π/4)] + "c"`

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Chapter 2.3: Indefinite Integration - MCQ

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