Just stuck on the last bit integral

[jaci55555]

i need to work out the integral on a complex curve:
i am just stuck with the integral:
int[0,2pi]((ie^it)/(e^it +1+i))dt

ps. how do you insert latex text?
thank you!

 

[spamiam]

Have you seen Cauchy's Integral Formula yet? http://en.wikipedia.org/wiki/Cauchy's_integral_formula

And for LaTeX see
https://www.physicsforums.com/showthread.php?t=386951