Notices
Results 1 to 4 of 4
Like Tree1Likes
  • 1 Post By mathman

Thread: integral

  1. #1 integral 
    Forum Freshman
    Join Date
    Feb 2013
    Posts
    6
    integral of 0dt=?


    Reply With Quote  
     

  2.  
     

  3. #2  
    Ophiolater Nehushtan's Avatar
    Join Date
    Feb 2013
    Posts
    72
    where is an arbitrary constant.


    Holding on to anger is like drinking poison and expecting the other person to die.
    Reply With Quote  
     

  4. #3  
    Forum Professor
    Join Date
    Jul 2008
    Location
    New York State
    Posts
    1,253
    Quote Originally Posted by PhDemon View Post
    I think the integral of zero is zero. An integral can be thought of as the area under a graph of the function, in this case a line at y=0, there is obvious;y no area under this so the integral is also zero. It's a long time since I studied calculus, however, one of the more knowledgeable maths guys here might tell me I'm wrong...
    You need to understand the distinction between definite integrals (limits prescribed) and indefinite integral (no limits). A definite integral of 0 will be 0, since the constant of integration (from the indefinite integral) cancels.

    When you talk about area under a curve, you are talking about definite integrals.
    Nehushtan likes this.
    Reply With Quote  
     

  5. #4  
    Forum Freshman
    Join Date
    May 2013
    Posts
    13
    Quote Originally Posted by PhDemon View Post
    I think the integral of zero is zero. An integral can be thought of as the area under a graph of the function, in this case a line at y=0, there is obvious;y no area under this so the integral is also zero. It's a long time since I studied calculus, however, one of the more knowledgeable maths guys here might tell me I'm wrong...

    Answer: If your equation is y=0, and you want to find the area under the curve, then you can immediately jump to the conclusion that for all x, there is no area under that curve.

    If you then decide y=0 is really a slope, its the slope of dZ/dx, "what is the shape of a line when its dZ/dx = 0 " .
    Then the line is a horizontal, Z=C

    Now what if decide that dZ/dx really was a line ? What about the area under it ? Well there is a value of C for all x, but the different between any two x's is 0 , so despite there being values for the end points, the area is 0.
    Reply With Quote  
     

Similar Threads

  1. integral
    By Heinsbergrelatz in forum Mathematics
    Replies: 4
    Last Post: April 5th, 2011, 04:58 AM
  2. A double integral
    By tikai in forum Mathematics
    Replies: 15
    Last Post: February 4th, 2011, 11:08 AM
  3. Integral
    By Heinsbergrelatz in forum Mathematics
    Replies: 5
    Last Post: August 24th, 2010, 10:47 PM
  4. Integral help
    By smokey in forum Mathematics
    Replies: 7
    Last Post: July 30th, 2010, 08:44 PM
  5. Integral
    By Heinsbergrelatz in forum Mathematics
    Replies: 1
    Last Post: April 16th, 2010, 01:39 PM
Bookmarks
Bookmarks
Posting Permissions
  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •