Mixing
complex Analysis integration. [closed]
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I don't know How to go about it but I have got a test on it most especially how they got $pi$ into the answer. [![enter image description here][1]][1]
question 9 and 10
if $f(z) =8z^2-2/z(z-1)(z+1)$ evaluate close integral of $f(z) dz$ along the contour $c$ where $c$ is a triangle joining the points $z=2 ,z=j , z=-1-j$
1.
complex-analysis
edited Jul 24 at 0:00
BDN
573417
asked Jul 23 at 23:15
user59369
31
closed as off-topic by Did, Umberto P., Isaac Browne, Shailesh, Gibbs Jul 24 at 6:53
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Did, Isaac Browne, Shailesh
add a comment |Â
up vote
-1
down vote
favorite
I don't know How to go about it but I have got a test on it most especially how they got $pi$ into the answer. [![enter image description here][1]][1]
question 9 and 10
if $f(z) =8z^2-2/z(z-1)(z+1)$ evaluate close integral of $f(z) dz$ along the contour $c$ where $c$ is a triangle joining the points $z=2 ,z=j , z=-1-j$
1.
complex-analysis
edited Jul 24 at 0:00
BDN
573417
asked Jul 23 at 23:15
user59369
31
closed as off-topic by Did, Umberto P., Isaac Browne, Shailesh, Gibbs Jul 24 at 6:53
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Did, Isaac Browne, Shailesh
Your question isn't clear and you seem to have forgotten the link.
– BDN
Jul 23 at 23:39
add a comment |Â
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
I don't know How to go about it but I have got a test on it most especially how they got $pi$ into the answer. [![enter image description here][1]][1]
question 9 and 10
if $f(z) =8z^2-2/z(z-1)(z+1)$ evaluate close integral of $f(z) dz$ along the contour $c$ where $c$ is a triangle joining the points $z=2 ,z=j , z=-1-j$
1.
complex-analysis
edited Jul 24 at 0:00
BDN
573417
asked Jul 23 at 23:15
user59369
31
I don't know How to go about it but I have got a test on it most especially how they got $pi$ into the answer. [![enter image description here][1]][1]
question 9 and 10
if $f(z) =8z^2-2/z(z-1)(z+1)$ evaluate close integral of $f(z) dz$ along the contour $c$ where $c$ is a triangle joining the points $z=2 ,z=j , z=-1-j$
1.
complex-analysis
edited Jul 24 at 0:00
BDN
573417
asked Jul 23 at 23:15
user59369
31
edited Jul 24 at 0:00
BDN
573417
edited Jul 24 at 0:00
BDN
573417
edited Jul 24 at 0:00
BDN
573417
573417
asked Jul 23 at 23:15
user59369
31
asked Jul 23 at 23:15
user59369
31
asked Jul 23 at 23:15
user59369
31
31
closed as off-topic by Did, Umberto P., Isaac Browne, Shailesh, Gibbs Jul 24 at 6:53
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Did, Isaac Browne, Shailesh
closed as off-topic by Did, Umberto P., Isaac Browne, Shailesh, Gibbs Jul 24 at 6:53
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Did, Isaac Browne, Shailesh
Your question isn't clear and you seem to have forgotten the link.
– BDN
Jul 23 at 23:39
add a comment |Â
Your question isn't clear and you seem to have forgotten the link.
– BDN
Jul 23 at 23:39
Your question isn't clear and you seem to have forgotten the link.
– BDN
Jul 23 at 23:39
Your question isn't clear and you seem to have forgotten the link.
– BDN
Jul 23 at 23:39
add a comment |Â
1 Answer
1
active
oldest
votes
up vote
0
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accepted
Do you know the Residue Theorem? The poles are at $0,1,-1$ and $-1$ is outside the triangle. The residues at $0$ and $1$ are $2$ and $3$ so the answer is $2pi i (2+3)=10pi i$.
answered Jul 23 at 23:51
Kavi Rama Murthy
20.2k2829
yea will be reading about it
– user59369
Jul 25 at 11:56
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
Do you know the Residue Theorem? The poles are at $0,1,-1$ and $-1$ is outside the triangle. The residues at $0$ and $1$ are $2$ and $3$ so the answer is $2pi i (2+3)=10pi i$.
answered Jul 23 at 23:51
Kavi Rama Murthy
20.2k2829
yea will be reading about it
– user59369
Jul 25 at 11:56
add a comment |Â
up vote
0
down vote
accepted
Do you know the Residue Theorem? The poles are at $0,1,-1$ and $-1$ is outside the triangle. The residues at $0$ and $1$ are $2$ and $3$ so the answer is $2pi i (2+3)=10pi i$.
answered Jul 23 at 23:51
Kavi Rama Murthy
20.2k2829
yea will be reading about it
– user59369
Jul 25 at 11:56
add a comment |Â
up vote
0
down vote
accepted
up vote
0
down vote
accepted
Do you know the Residue Theorem? The poles are at $0,1,-1$ and $-1$ is outside the triangle. The residues at $0$ and $1$ are $2$ and $3$ so the answer is $2pi i (2+3)=10pi i$.
answered Jul 23 at 23:51
Kavi Rama Murthy
20.2k2829
Do you know the Residue Theorem? The poles are at $0,1,-1$ and $-1$ is outside the triangle. The residues at $0$ and $1$ are $2$ and $3$ so the answer is $2pi i (2+3)=10pi i$.
answered Jul 23 at 23:51
Kavi Rama Murthy
20.2k2829
answered Jul 23 at 23:51
Kavi Rama Murthy
20.2k2829
answered Jul 23 at 23:51
Kavi Rama Murthy
20.2k2829
answered Jul 23 at 23:51
Kavi Rama Murthy
20.2k2829
20.2k2829
yea will be reading about it
– user59369
Jul 25 at 11:56
add a comment |Â
yea will be reading about it
– user59369
Jul 25 at 11:56
yea will be reading about it
– user59369
Jul 25 at 11:56
yea will be reading about it
– user59369
Jul 25 at 11:56
add a comment |Â
Your question isn't clear and you seem to have forgotten the link.
– BDN
Jul 23 at 23:39