complex contour integral two variable

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adrian zizo 2015-3-16

编辑： Walter Roberson 2015-8-28

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

adrian zizo 2015-3-16

my matlab version is R2010a

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