Integrate with respect to \( x \) : (vii) \( \frac{\cos 2 x+x+1}{x^{2}+\sin 2 x+2 x} \)

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Integrate with respect to \( x \) :
(vii) \( \frac{\cos 2 x+x+1}{x^{2}+\sin 2 x+2 x} \)
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