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Math Help - [SOLVED] Average value?

  1. #1
    Super Member fardeen_gen's Avatar
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    [SOLVED] Average value?

    What is average value of sin x over x = pi to x = 2pi ?
    My answer: -2/pi
    Is it correct?
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  2. #2
    Super Member flyingsquirrel's Avatar
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    Hi
    Quote Originally Posted by fardeen_gen View Post
    Is it correct?
    Yes it is.
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  3. #3
    MHF Contributor
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    Quote Originally Posted by flyingsquirrel View Post
    Hi

    Yes it is.
    Geez, I am really rusty. I'm getting -1/pi.

    INT(pi to 2pi)[sinX]dx
    = [-cosX](pi to 2pi)
    = -cos(2pi) +cos(pi)
    = -1 +0
    = -1

    So average = -1/(2pi -pi) = -1/pi

    Can someone please show me how it should be -2/pi?
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  4. #4
    Super Member fardeen_gen's Avatar
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    cos pi is -1.
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  5. #5
    MHF Contributor
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    Quote Originally Posted by fardeen_gen View Post
    cos pi is -1.
    Yes, of course!
    I was thinking of cos pi/2.

    I'd have to shake off more rust flakes from my Math brain.

    Thanks.
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