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Exercise

$\int_0^{2\pi}\left(\frac{1}{5+3\cos\left(x\right)}\right)dx$

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Final answer to the exercise

$\frac{1}{2}\arctan\left(\frac{\tan\left(\frac{2\pi }{2}\right)}{2}\right)- \left(\frac{1}{2}\right)\arctan\left(\frac{\tan\left(\frac{0}{2}\right)}{2}\right)$

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