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Math Help - Integration Problem for Calculus Homework

  1. #1
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    Integration Problem for Calculus Homework

    I'm having trouble with the following problem from my homework for a Calc. II course:
    The velocity v of the flow of blood at a distance r from the central axis of an artery of radius R is,

    v = k(R^2 - r^2)

    where k is the constant of proportionality. Find the average rate of flow of blood along a radius of the artery. (Use 0 and R as the limits of integration.)
    Any help would be really appreciated, thanks.

    EDIT: I should probably clarify: I know how to use integration in order to find the average value of a function over a range. It's integrating the function that I'm stuck on.
    Last edited by justaguy; January 21st 2009 at 11:42 PM. Reason: Clarification.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by justaguy View Post
    I'm having trouble with the following problem from my homework for a Calc. II course:
    Any help would be really appreciated, thanks.

    EDIT: I should probably clarify: I know how to use integration in order to find the average value of a function over a range. It's integrating the function that I'm stuck on.
    what problems are you having?

    the integral is: \frac 1R \int_0^R k(R^2 - r^2)~dr

    it is a matter of using the power rule for integrals, nothing too fancy. remember, R and k are constants, r is the variable
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  3. #3
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    Quote Originally Posted by Jhevon View Post
    what problems are you having?

    the integral is: \frac 1R \int_0^R k(R^2 - r^2)~dr

    it is a matter of using the power rule for integrals, nothing too fancy. remember, R and k are constants, r is the variable
    . . . I was assuming R was a variable. This makes more sense now. Thanks.
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