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Math Help - Property of Integrals

  1. #1
    Junior Member
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    Property of Integrals

    It is known that if m< (int) b f(x) dx < M(b-a)
    a
    Use this property to estimate the value of the given integral

    x< (int) 4 5/(1+x^2) dx < x
    0

    I have no idea how to solve this one...

    *note: It's less than or equal to, not just less than
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    Key: extreme value theorem.
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  3. #3
    Junior Member
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    So all it's saying is just integrate it?

    Because if so, it would be just 0 and 6.629 because 1/ 1 + x^2 is interpreted as the arc tan of x + C (constant)...so

    (int)4
    0 = 5arc tan 0 is 0 and 5 arctan 4 = 6.629..right?
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