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What am I doing wrong with this simple integral?

  1. Oct 9, 2006 #1
    I want to integrat x^-2 between -1 to 1. The answer shouldn't exist (should probably be something divided by 0) because the area is infinite between -1 to 1. But I integrate, and I get -x^-1 from -1 to 1. I then plug the bounds in and I get: [-(1)^-1] - [-(-1)^-1] which is -1 -1 or -2. What am I doing wrong?
     
  2. jcsd
  3. Oct 9, 2006 #2
    Not true. You're right with your answer. One thing you will learn with integrals is that an infinite jump at any particular point in a function f(x) may correspond to a finite jump in its integral.
     
    Last edited by a moderator: Oct 9, 2006
  4. Oct 9, 2006 #3
    Why is the answer negative? I attached a picture of the graph, it still looks like it should be infinite to me.
     

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  5. Oct 9, 2006 #4
    Ok my apologies. You were correct in your arithmetic, but your answer is complete garbage. As far as I know you cannnot integrate over that interval. There are however cases where a function "blows up" but has a finite integral, so you must be careful (the only case I know of however is the dirac delta function, whose integral is 1 over infinite limits)
     
    Last edited by a moderator: Oct 9, 2006
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