`int \ dx/(4+5cosx)`

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int dx/(5+cosx)

∫ dx/(5+4 Cosx)

int(dx)/(3+5cosx)=

int (dx)/(sinx cosx)=

If int(dx)/(5-4cosx)=Atan^(-1)(Btanx//2)+C , then

int(dx)/(5+4cosx)=lambdatan^(-1)(mtan.(x)/(2))+C then

If int(dx)/(5+4cosx)=ktan^(-1)(mtan""(x)/(2))+c , then

int(dx)/(sin x cosx) =

int(1)/(4+5 cosx)dx