Complex Integration int e^it dt=2i

[ceyhuncamli]

I'm trying to prove.
i tried solve but i've failed. Can you help me for a solution?

 

[stapel]

\(\displaystyle \displaystyle{\int_0^{\pi}\, e^{it}\, dt\, =\, 2i}\)

i tried solve but i've failed.

What have you tried? How far did you get? At what point did things grind to a halt?

Please be complete. Thank you!

 

[pka]

I'm trying to prove. View attachment 4127
i tried solve but i've failed. Can you help me for a solution?

Do you know that \(\displaystyle \displaystyle\int {{e^{it}}dt} = - i{e^{it}}~?\)