If the equation of an ellipsoid is given as x/(a^2) + y/(b^2) + z/(b^2) = 1, then if I use a triple integral defined as.... integral( integral( integral( PI ) ) ) dadbdc with the limits -a to a, -b to b, and -c to c, will it give me the Volume? If not, please explain why?

Question

amistre64 · Answer

ack!!..... havent ventured muchpast single integrals meself....

amistre64 · Answer

just read over spherical and cylindrical coords last night tho...

amistre64 · Answer

(r,t,z)  ..(p,f,t)...that sorto thing

anonymous · Answer

That's really not applicable here.. we're supposed to use rectangular coordinates.

amistre64 · Answer

yeah... theres a book onthe shelf behind me that might have an answer to yor quandry

amistre64 · Answer

pgs 1041 - 1046

amistre64 · Answer

i know in single integrals tha tif you go from -a to a the values cancel out..

amistre64 · Answer

the integral of -x^2 + 9 forexample from [-3,3]

-x^3/3 +9x

(27/3+27)-(-27/3 -27)

amistre64 · Answer

lol....was that right?

amistre64 · Answer

nope, typoed

amistre64 · Answer

(-27/3+27)-(27/3 -27) looks better

anonymous · Answer

um
-a to a, wouldn't cancel out, they'd double...

amistre64 · Answer

...think I got that backwards... with the odd functions

amistre64 · Answer

youre right there :)

anonymous · Answer

thanks for your help but I think I got it.

amistre64 · Answer

:) good luck with rest ;)

amistre64 · Answer

give e 6 months and ill be a pro at this ;)