Contour Integral to Properly Posting Math Problems on Online Forums

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Othman0111
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Homework Statement


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Homework Equations



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The Attempt at a Solution


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This is my first time here. Please don't delete my thread.
 
The code I tried to input:

In[64]:= r = 2;
i = Sqrt[-1];
x[t_] := r*Cos[t] - 1;
y[t_] := r * Sin[t] - i;
K[x_, y_] := {x + i y}

In[70]:= f[K_] := 1/(K - (1 + i))

In[71]:= Integrate[f[K], {t, 0, 2 \[Pi]}]

Out[71]= (2 \[Pi])/((-1 - I) + K)

the output should be 2πi. Right?
 
Your handwritten picture is not readable. You are violating our guidelines.

https://www.physicsforums.com/threads/guidelines-for-students-and-helpers.686781/ said:
  1. Do not simply post images of the problem statement or your work.
    Please make the effort to type up the problem statement and your work. Ask yourself "If I can't be bothered to spend my time typing it, why should they be bothered to spend their time reading it, much less responding to it?" Use images for supporting figures. You may, of course, attach an electronic copy of the problem statement in addition to the typed version. Indeed, if it's a complicated or long problem, you probably should, but you should always provide a typed version as well.

    While posting images may be convenient for you, it's actually one of the most effective ways of getting your request for help ignored. Images are often too big, too small, rotated, upside down, out of focus, dimly lit, or of otherwise poor quality. Your handwriting may not be as easy to read as you think it is. Even when images are readable, they often make viewing and responding to a thread very inconvenient, particularly on a mobile device. Moreover, they're a hindrance to the helpers as portions of the problem statement or your work can't easily be quoted. Using images alone doesn't qualify as filling out the homework template, so your post may be deleted.
  2. Don't post poor images.
    When you do use an image in your post, make sure it's in focus, oriented the right way, well lit, etc. It seems like this should be obvious, but experience has shown that people frequently post incredibly poor images. Add images as attachments to the post. Don't host it externally. That way it will remain on PF indefinitely, and your thread will remain useful to future visitors.
 
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