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anonymous

  • 5 years ago

find the average value of function f(x)=sqrt x; [1,8]

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  1. shadowfiend
    • 5 years ago
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    Do you know how to find average values using an integral?

  2. anonymous
    • 5 years ago
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    I know.. but I have trouble in converting the sqrt of x to integral...

  3. shadowfiend
    • 5 years ago
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    Ok, fair enough. Remember that \(\sqrt{x}\) is the same as \(x^{1/2}\). Does that help?

  4. anonymous
    • 5 years ago
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    so the integral will be x ^3/2 / 3/2 right?

  5. shadowfiend
    • 5 years ago
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    I believe that's correct, yes.

  6. anonymous
    • 5 years ago
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    yes, in the end you should find the average value to be approximately 2.06

  7. anonymous
    • 5 years ago
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    thanks

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