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