The power of the integral

Regarding the power of the integral we can see differents aplications, for example calculate distances, areas, even volumes that surround us.

That's why our houses are part of simple shapes like squares. Even the columns/pillars are like a finite cylinder.

Now we are able to calculate it with a simple doble or maybe triple integral if necessary.
Also, in order to calculate the volume of some functions where "ROU" remains the same regarding the z axis, we also can create two planes( z=4. =0) in order to calculate the volume under the curve.

The possibility to be able to calculate the surface or area of a non flat shape is amazing to me. Because we can solve it trough a doble integral and with a simple procedure, thanks to the revisor coeficient.

Moreover, if you look further, even the lamp's shape can be inferred like a finit cone. That's wonderful.

In conclusion, when we talk about Calculus we are talking about a useful tool to explain our world.