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## Homework Statement

$$\int_{0}^{\ 2\pi} \ |e^{sin(x)}cos(x)| \, dx$$

I know that it simplifies to $$ 2e- \frac{2}{e} ≈ 4.7 $$ I'm not sure how to approach this problem. Do I just break the integral up into the domains where it's positive and negative and integrate each component separately as I would with a much simpler absolute value function?

Thanks in advance,

physicsdreams