# Math Help - complex question2

1. ## complex question2

2. Using $z=e^{it}$ :

$\displaystyle\int_{\Gamma}z^mz^n\;dz=\ldots=i\disp laystyle\int_0^{2\pi}e^{(m+n+1)it}\;dt=\ldots$

3. thank you so much.
from that i get.

i[(m+n+1)2(pi)ie^((m+n+1)2(pi)i)]

is that correct?

4. Originally Posted by shaheen7
thank you so much.
from that i get.

i[(m+n+1)2(pi)ie^((m+n+1)2(pi)i)]

is that correct?

It's hard to understand what you really meant, but it should be

$\displaystyle{i\int\limits^{2\pi}_0e^{(m+n+1)it}\, dt=\frac{1}{m+n+1}e^{(m+n+1)it}\left|\limits^{2\pi }_0\right.$ .

Now distinguish between $m+n\neq -1\mbox{ and }m+n=-1$

Tonio

5. righttt that is what i was doing i just made a small mistake.

THANK YOU!