Hello,

I have a problem:

Let gamma: z=e^(it) (0<= t <= pi). Show that

|integral (e^z / z) dz | <= pi e^2

I thought to use the Estimation theorem:

But at the end of |f(gamma(t))| i found e^(2cost)/2

And at the end of |(gamma'(t)| i founf 2.

But i don't understand how can i integrate e^(2cost)

Thank you

Richard