Does anyone know the proof that definite integral is area of a funtion....

just curious....

:stupid:

just curious....

:stupid:

I know, but can't explain this only using text, with my bad english. :grin: :grin: :grin:

Look at the Gauss's definition of the "definite integral". It's a sum of elementary areas, contined in the whole area with borders function and x-axis.

Look at the Gauss's definition of the "definite integral". It's a sum of elementary areas, contined in the whole area with borders function and x-axis.

Err... that's sort of like asking "can you prove that adding two numbers gives their sum?" isn't it?

It is defined as the sum of the partition areas from

http://hyperphysics.phy-astr.gsu.edu/hbase/integ.html

**a**to**b**as the number of partitions approaches infinity. Work it out for two partitions and extrapolate to general solution. :)http://hyperphysics.phy-astr.gsu.edu/hbase/integ.html