Question

Find \[\int\limits_{C}^{}\frac{1}{e^{z}(z-2)}dz\] and C is the ellipse \[\frac{x^{2}}{9}+\frac{y^{2}}{16}=1\]

Answer 1

i know the cauchy integral formula, http://en.wikipedia.org/wiki/Cauchy's_integral_formula

Answer 2

is my f(z) =e^-z ???

Answer 3

then a=+2 maybe

Answer 4

*bookmark* :D

Answer 5

is complexifying it better maybe?

Answer 6

rearranging the CIF we get 2pi*i*f(a)= integral ......

Answer 7

maybe its easier then i thought

Answer 8

2pi*e^-2*i