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

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

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The correct Answer is:

`int(dx)/((5+4cosx)^(2))=10/17 tan^(-1)((tanx//2)/(3))-4/9((sinx)/(5+4cosx))+C`

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