Results 1 to 2 of 2

Math Help - Complex Integration

  1. #1
    Junior Member
    Joined
    Mar 2009
    Posts
    29

    Complex Integration

    Use the definition to compute the following integral:


    \int_C e^z where C is the contour from 1-i to 1+i.

    I do not see how to do this problem. I know the definition is \int_C f(z)dz = \int_C f(z(t))z'(t)dt. However, I don't see how to use it in this problem. Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor chisigma's Avatar
    Joined
    Mar 2009
    From
    near Piacenza (Italy)
    Posts
    2,162
    Thanks
    5
    The function e^{z} is analytic \forall z \in \mathbb{C}, so that the integral...

    \int_{A}^{B} e^{z} \cdot dz

    ... doesn't depend from the path connecting A with B...

    ... what is the simplest path from 1 - i to 1+i?...

    Kind regards

    \chi \sigma
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Complex integration
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 24th 2010, 01:30 AM
  2. Complex integration
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: October 19th 2010, 01:14 PM
  3. Complex integration
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 8th 2010, 08:50 AM
  4. Complex Integration
    Posted in the Calculus Forum
    Replies: 8
    Last Post: May 5th 2010, 05:15 PM
  5. complex integration
    Posted in the Advanced Applied Math Forum
    Replies: 3
    Last Post: October 28th 2009, 04:36 AM

Search Tags


/mathhelpforum @mathhelpforum