Definite Integral (1 Viewer)

[Cujo10]

Is there a first principles for a definite integral?

 

[beetree1]

no e w i would kms

 

[Pedro123]

Yes there is, but it's a pain to do, which is why we don't consider it compared to first principles for differentiation.
I would write it out but it's a bit of a pain with Latex, so see 4:40 of this video:

 

[Cujo10]

I think this defines the definite integral, but I'm sill confused about would it still be right if you taken the limit as "n" approaches infinity?