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int (dx)/((4+5cos x))...

`int (dx)/((4+5cos x))`

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int(dx)/(4+5cos^2x)=

int(dx)/(5+4cos x)

int(dx)/(5+4cos x)

Evaluate int (dx)/((5+4cos x)^(2)) .

If int (dx)/(5+4 cos x) = k tan^(-1) (m tan ((x)/(2))) + C then :

int(dx)/(5+5cos x)

int(1)/(5+4 cos x)dx

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