Thread: [SOLVED] contour integratiion\residue theorem ?

1. [SOLVED] contour integratiion\residue theorem ?

pleaase have a look at the attched picture.....plz tel me which method is wrong , why? if both r correct...why r the answers different?
thank u for any help u can provide/...

$\displaystyle -18\left[e^{4i\pi}- 1\right]+ 2\pi i$
Surely you know that $\displaystyle e^{4i\pi}= 1$?