|Jan18-09, 11:20 AM||#1|
1. The problem statement, all variables and given/known data
Evaluate the following intergral:
2. Relevant equations
Intergral from gamma of (y)dz, where gamma is the union of the line segments joining 0 to i and then i to i+2
3. The attempt at a solution
I have no idea how to do this!
|Jan18-09, 01:52 PM||#2|
(have a gamma: Γ )
Γ is an L-shaped path …
just integrate along each bit of it separately.
(but what is y? )
|Jan18-09, 02:21 PM||#3|
Presumably, if you are expected to do a problem like this, you know something about path integrals. The line from 0 to i, in the complex plane, can be written as z= (1+i)t where t ranges from 0 to 1. The line from i to i+ 2 can be written as z= (1+ t)+ i where, again, t ranges from 0 to 1. Do those two integrals separately with z replace by those and dz by (1+i)dt in the first integral and by dt in the second.
Unfortunately, you see to have forgotten to say what the integrand, y(z), is!
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