Results 1 to 3 of 3

Math Help - Another line integral

  1. #1
    Member
    Joined
    Jun 2006
    Posts
    93

    Another line integral

    int(ydx + xdy); C is the curve y=x^2, 0 <= x <= 1

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by pakman View Post
    int(ydx + xdy); C is the curve y=x^2, 0 <= x <= 1

    Thanks
    I have little time (might be wrong).
    It seems that,
    f(x,y)=xy
    Is a scalar potential.

    Thus, by the fundamental theorem of line integrals,
    f(1,1)-f(0,0)=1
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jun 2006
    Posts
    93
    Quote Originally Posted by ThePerfectHacker View Post
    I have little time (might be wrong).
    It seems that,
    f(x,y)=xy
    Is a scalar potential.

    Thus, by the fundamental theorem of line integrals,
    f(1,1)-f(0,0)=1
    I figured it out actually.

    Since y is not changing, dy = 0 thereby removing the xdy part of the function.

    int(y dx) is all that remains. Plug in x^2.

    int(x^2 dx) which equals 2 after integrating from 0 to 1.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: December 12th 2011, 12:30 AM
  2. [SOLVED] Line Integral along a straight line.
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 11th 2011, 08:18 PM
  3. Replies: 0
    Last Post: May 9th 2010, 02:52 PM
  4. [SOLVED] Line integral, Cauchy's integral formula
    Posted in the Differential Geometry Forum
    Replies: 7
    Last Post: September 16th 2009, 12:50 PM
  5. [SOLVED] Line integral, Cauchy's integral formula
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: September 15th 2009, 02:28 PM

Search Tags


/mathhelpforum @mathhelpforum