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Basic integration concept

  1. Feb 19, 2014 #1
    Will someone please remind me why int from 0 to 1 of 5 equals 5, when the sum of the values 5 at, say 1.1, 1.2, 1.3, 1.4, 1.5, 1.6 is > 5? I lost this fundamental understanding today and want to gain it back.

    Thank you
     
  2. jcsd
  3. Feb 19, 2014 #2

    olivermsun

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    Science Advisor

    If you go back and think of the integral as an area under the graph, then you see that 5 at 1.1, 1.2, 1.3, ... is always 5, but the boxes are only 0.1 wide, so the area in each of them is only 0.1*5. Add up the 10 boxes and you get the total area which is 5.
     
  4. Feb 19, 2014 #3
    Ah yes ok thanks.
     
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