The value of line integral over C of dz/(z^2+4) along the line x+y=1 in the direction of increasing x is ___ The answer is pi/2 I am not sure how to arrive at this answer .i had a guess that maybe i should apply residue theorem but not sure how to .
2026-03-29 02:28:43.1774751323
complex integral over a line
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Integrate over a part of the line, add a large semi-circle (preferably the one that makes the closed curve positively oriented) and take the limit as the part of the line gets bigger and bigger.