I was just wondering, if it was possible to evaluate the following integrals:
$\int_{C} {\rm Re}(x) \,{\rm d}x$
$\int_{C} {\rm Im}(x) \,{\rm d}x$
Where ${\rm Re}(x) $gives the real part of a complex number and ${\rm Im}(x)$ gives the imaginary part, and $C$ is a unit circle centered at the origin of a complex plane. I am new to complex integrations, so it would be much appreciated if you could break down advanced concepts, if used. Thanks!