Compute the given integrals. Use exact values.

∫ecos⁡xsin⁡xdx=\displaystyle \int{e}^{{{\cos{{x}}}}}{\sin{{x}}}{\left.{d}{x}\right.}= +C\displaystyle +{C}
 

∫0π3ecos⁡xsin⁡xdx=\displaystyle {\int_{{{0}}}^{{\frac{\pi}{{3}}}}}{e}^{{{\cos{{x}}}}}{\sin{{x}}}{\left.{d}{x}\right.}=
 

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