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Let f(x)=(4+5cosx)/(5+4cosx)(x in (0,pi...

Let `f(x)=(4+5cosx)/(5+4cosx)(x in (0,pi/2)) and int(dx)/((5+4cosx)^2)=5/27g(x)-4/27 h(x)+c` then

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Let f(x)=(4+5cos x)/(5+4cos x)(x in(0,(pi)/(2))) and int(dx)/((5+4cos x)^(2))=(5)/(27)g(x)-(4)/(27)h(x)+ then

int dx/(5 + 4 cosx)

int dx/(4+5cosx) =

int_(0)^(pi)(dx)/((5+4cosx))

int_(0)^(pi)(dx)/((5+4cosx))

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

int_(0)^(pi//2)(5+4cosx)/((4+5cosx)^(2))dx=

Evaluate : int_(0)^(pi) (dx)/(5+4cosx)

Evaluate: int_(0)^(pi)(dx)/(5+4cosx)