Double and triple integration

[匿名]

2008-06-08 7:44 am

hi, please give examples of double and triple integration
also, I would like to know their geometrical meanings.

It seems that double or triple integration is just integration wrt differnet varibles one by one. Is it really the case?

更新1:

hi, 我仲想要一條example for volume /mass =,= 因為我唔多明大學lecture notes d example...

回答 (1)

Chui Ling

2008-06-08 9:25 am

✔ 最佳答案

yes, you are true.
Double and triple integration is just integration wrt differnet variables one by one. The other variables is just see as constant term or constant coefficient.

the geometrical meanings of double integration is area /volume
if the integral is
∫∫dxdy
it is area.
if the integral is
∫ ∫ f(x,y) dxdy
it is volume.

the geometrical meanings of double integration is volume/mass
if the integral is
∫∫∫ dxdydz
it is volume.
if the integral is
∫ ∫ ∫ p(x,y,z) dxdy
it is mass.

it is clear enough?

參考: my math knowledge

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