Evaluate the following integral∫1/(2+cosx ) dx
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Mathematics
Put z=tan〖x/2〗 , cosx=(1-z^2)/(1+z^2 ) and dz=2dz/(1+z^2 )
need an explanation for this answer? contact us directly to get an explanation for this answerI=∫dz/(2+(1-z^2)/(1+z^2 ))=∫2dz/(1+z^2 )=2/√3 tan^(-1)(z/√3)+c
I=2/√3 tan^(-1)(tan〖x/2〗/√3)+c