Saturday, October 1, 2011

integral 1 / (sin x + cos x) dx

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

Do the integral of 1/(sin[x]+cos[x]) with respect to x


Online Integral Calculator : 1/(cos(x)+sin(x))

Online Integral Calculator : 1/(cos(x)+sin(x))

Integrate[1/(Sin[x] + Cos[x]), x] == (-1 - I)*(-1)^(3/4)*ArcTanh[(-1 + Tan[x/2])/Sqrt[2]]


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