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Finding an integral given two other integrals?

  1. Apr 12, 2014 #1
    1. The problem statement, all variables and given/known data

    It is given that

    integral(1 to 2) g(x)dx=22
    integral (1 to 4) g(x)dx=7
    integral (1 to 16) g(x)dx=13

    Find integral (4 to 16)


    2. Relevant equations

    Using properties of integrals, integral(4 to 16)= integral(1 to 16) - integral(1 to 4)


    3. The attempt at a solution

    So, you can ignore the in integral (1 to 2) since it is not in the interval you need to solve for.

    Integral(1 to 16) - integral(1 to 4) = 13-7 =6

    The integral from (4 to 16) = 6

    Am I correct?
     
  2. jcsd
  3. Apr 12, 2014 #2

    Dick

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    Science Advisor
    Homework Helper

    Yes, you are.
     
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