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 2 years ago
\[\int\limits_{C}^{}dz/z\]
where c consists of three line segments:
From z = 1 to z = 1i
From z = 1i to z = 1i
From z = 1i to z = 1
 2 years ago
\[\int\limits_{C}^{}dz/z\] where c consists of three line segments: From z = 1 to z = 1i From z = 1i to z = 1i From z = 1i to z = 1

This Question is Closed

agentx5
 2 years ago
Best ResponseYou've already chosen the best response.0At first I though this wasn't going to be so hard, but then I read the subinstructions >_< @amistre64 , @TuringTest , any insight on this one guys? PS: You did post ALL the contextual information for this one this time right @SkykhanFalcon ? ;) (/me remembers your last superchallenging differentials question)

agentx5
 2 years ago
Best ResponseYou've already chosen the best response.0There's no special initial conditions, restrictions, or anything like that right?

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0:) yeah i remember, for now there is not :)

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0this appears to be the same question that was posted earlier

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0@experimentX dude i could not do that :/

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0and today is the last day :/

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0they are all connected

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0i think i already did the first one.

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0you found sqrt2i(pi)/4

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0i am not sure it is true or not

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0what's the answer supposed to be??

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0final answer should be (pi)*i

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0for question no 1??

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0no they are connected each other book says only an answer and it is (pi)*i

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0O ... let's see for 2

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1343076384065:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1343076480604:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1343076552517:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1343076614227:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1343076688932:dw sorry man ... i couldn't get any better

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0:) okey bro thanks again

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0@mukushla @richyw @eliassaab any idea ?

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.2Have you had the residue theorem?

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0but i did not learn well :/

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.2If you know the Residue Theorem you can cut your work from computing three line integrals to one.

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.2Your line integral on the first line is z = 1 +i y dz = i dy \[ \int_0^{1} \frac{i}{1+i y} \, dy=\frac{1}{4} (\ln(4)i \pi ) \]

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.2Mimic my post above for 2 remaining lines.

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0hmm then will i continue with 1/4(ln4.... or i always use the i/1+iy

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.2for the second integral z= x I dz = dx \[\int_1^{1} \frac{1}{xi} \, dx=\frac{1}{2} (i \pi ) \]

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0how can i understand the integral part for ex. why the second one become 1/xi

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.2How much is y on the second line? 1 How much is x on the seconfd line? x from 1 to 1 z= x i

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.2On the third line z= 1 + i y dz= i dy \[ \int_{1}^0 \frac{i}{1+i y} \, dy \]

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0ok i understand i guess thank u :)

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.2\[ \int_{1}^0 \frac{i}{1+i y} \, dy=\frac{1}{4} i (\pi 2 i \log (2)) \]

SkykhanFalcon
 2 years ago
Best ResponseYou've already chosen the best response.0thank u so much :)
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