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Math Help - Integrals and inequalities help please

  1. #1
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    Integrals and inequalities help please

    I stumbled upon this question in my textbook and im stuck on how to go abouts solving it:

    integral sqrt (1+x^2)dx<= integral sqrt(1+x)dx from [0,1]
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Prove that sqrt (1+x^2)<=sqrt(1+x)

    ==>(1+x^2)<=(1+x) for all x in [0,1]
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  3. #3
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    Quote Originally Posted by Also sprach Zarathustra View Post
    Prove that sqrt (1+x^2)<=sqrt(1+x)

    ==>(1+x^2)<=(1+x) for all x in [0,1]
    soo would you go abouts solving for x which i belive is x<=0 which is in [0,1]?
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  4. #4
    MHF Contributor Also sprach Zarathustra's Avatar
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    What?

    (1+x^2)<=(1+x)

    ==> x^2<=x only!!! if x in [0,1]
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