double integral and triple integral

其實integration, 唔100%好似你上面咁講.........
我唔用文字, 我舉例~

當single integral o既integrant(dx前面部份), 係等於1時, 計出答案就係直線長度
當double integral o既integrant(dxdy前面部份), 係等於1時, 計出o既答案就係area
所以, 當triple int o既integrant係1時, 答案就係volume

不過,當single同double integral既integrant係一個function(not=1), 就會得到area同volume.

而triple integral o既integrant唔係1時, 就會得到4次元, 或係其他答案
如一般engineering就用triple integration去計算力學.

其實我諗你都知一個原理.
integration就係將1dimension轉換到2dimension.
所以當你int(1)時, 就係將0dimension轉到1dim.
同樣, double int(1), 就係先將0dim.轉到1dim. , 再int就將1dim.轉到2dim.

These are just terms, for higher degree, there are no such terms.

In fact, for the triple integral, you may call it space-time, which is a type of manifold.