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integral: 1/(1+cos(x)+sin(x)) dx

t = tan(x/2) --> x = 2arctan(t) --> dx = 2/(1+t^2) dt

sin(x) = 2t/(1+t^2)

cos(x) = (1-t^2)/(1+t^2)

1/(1+cos(x)+sin(x)) dx

= ...

= 2 integral 1/(2(1+t)) dt = integral 1/(1+t) dt = ln (1+t) = ln(1+tan(x/2))

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# Is this correct:integral: 1/(1+cos(x)+sin(x)) dxt = tan(x/2)

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