Complex Integral on parameterized curve
It is a series of complex integrals as shown below, denoted by version C.
A: Integration on a circle, B: Integration on a line/arc, C: Integration on any parametrized curve.
1. set the function using the valuable z, such as f(z)=z^2
2. set the path using Sequence command. Number of section must be less than 10.
(If your curve has more than 2 sections, be awear that the end point of one section and the start point of the next section are different)
In each section, parametetric curve must be a set of complex numbers using Sequence command.
For example , Sequence(t^2+0 i ,t,0,1,delta) is acceptable. Sequence(t^2 ,t,0,1,delta) is NOT.
3. Click the Initialize button
4.Set options if necessary
magnify:magnifying ratio of the arrows of the function, delta:division interval
For further informaion please watch this Video.
https://www.youtube.com/playlist?list=PLmEX7-TmxuoI5UsSuDXffEOMlgKZ-ZXXg (Japanese)
https://studio.youtube.com/playlist/PLIyoE7qWZ48a41N3qDT2NNJRVD--qNlEj/edit (English)