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) ...?
As the The average rate of flow is given by (1/(R - 0)) * ∫(r = 0 to R) k(R^2 − r^2) dr So what we do is that we proceed like this: = (k/R) * ∫(r = 0 to R) (R^2 − r^2) dr = (k/R) * (R^2 r − r^3/3) {for r = 0 to R} = (k/R) * (R^2 * R − R^3/3) - 0 = (k/R) * (2R^3/3) = (2k/3) R^2. I hope this can help you for good
