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Are the following two integrals equivalent? [basic]

  1. Feb 5, 2013 #1
    Hi, this is rather short one. I'm wondering if the two in the image below are equivalent.
    http://gyazo.com/62449de717e91b412f42771fd7d0a1af

    To me they appear to be equivalent, and I can't recognize any exceptions or trivial cases. Also, if it is equivalent would be it be acceptable to substitute between the two?

    Specifically when dealing with the area between two curves. I know it is simple, and I know how, to identify the 'top' function but I'm always looking for new short cuts.

    Thank you!
     
  2. jcsd
  3. Feb 5, 2013 #2
    Yes, the equality is true.
     
  4. Feb 5, 2013 #3
    Alright thank you. I will assume since there are no exceptions, that is it fine to use on an exam or something similar.

    This may be locked.
     
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