sin x + cos x = sqrt 2 sin ( x + 45)
Hence Integ 1 / (sin x +cos x) dx = sqrt 2 Integral cosec (x + 45)
= - sqrt 2 ln I csc ( x+ 45) + cot (x + 45) I + C
Hence Integ 1 / (sin x +cos x) dx = sqrt 2 Integral cosec (x + 45)
= - sqrt 2 ln I csc ( x+ 45) + cot (x + 45) I + C
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