complex contour integral two variable

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adrian zizo
adrian zizo on 16 Mar 2015
Edited: Walter Roberson on 28 Aug 2015
when he request from me find the value of integration in one variable (z or x ) around the contour by using matlab such as tha follow example :
Find ∫Z^2 dZ interval [0,3+i] along real axis to 3 and the vertically to (3+j)?
I answer it as follow :
>> Q = quadgk(@(z)z.^2,0,3+i,'Waypoints',[0+0i,3+0i,3+i])
Q =
6 + 8.66666666666667i
and the answer is true .
my qeuestion:
when he request from me find the value of integration in two variable (x and y ) by using matlab such as the follow example :
Evaluate ∫(2y+x^2)dx+(3x-y)dy interval [0+3i,2+4i] around Straight lines from (0, 3) to (2, 3) and then from (2, 3) to (2, 4)?
how can I answer it by using matlab ? plz help me .. thank u every one

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