I know that the gamma function (from 0 to infinity):
\int e-t tx-1 dt = \Gamma(x)
and that the relation exists...
\int e-ut tx-1 dt = 1/ux \Gamma(x)
Now for the lower bound incomplete gamma function... I see that from
http://people.math.sfu.ca/~cbm/aands/page_260.htm (equation...
V = \int_0^{2\pi}\int_0^\alpha\int_0^a \rho^2\sin{(\phi)}d\rho\ d\phi\ d\theta =
\frac{2\pi a^3}{3}(1 - cos{(\alpha)})
Reason why I ask was I am just evaluating your limits...
I see for outermost integral, limits are from 0 to 2 \pi\ . makes since, because were rotating around 360 degrees...
Thanks for the help guys.
Actually, my math background goes to ODE - so it makes since, I just assumed a simpler method existed. I am going to look in my multivariable calculus text to revitalize my head for this approach...
Sorry. What I am trying to find is the volume of a segment of a sphere. I can find the area in 2-D space but cannot figure out a formula for volume for 3-D space.
Homework Statement
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fluid with 5mg/cm^3 of drug enters bloodsteam at 100cm^3/hr, drug is absorbed by body tissue or otherwise leaves the bloodstream at a rate proportional to the amount present with a rate constant of .4(hr)^-1.
so assuming the drug is always uniformly distrbuted throughout the bloodstream, the...