Evaluate: \( \int e^{(x \sin x+\cos x)}\left(x \cos x\left(\frac{\cos x}{x}\right)+\left(\frac{\...

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Evaluate: \( \int e^{(x \sin x+\cos x)}\left(x \cos x\left(\frac{\cos x}{x}\right)+\left(\frac{\cos x}{x}\right)^{\prime}\right) d x \)
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