Understanding the basics of integration

[Mohankpvk]

I tried learning calculus using the book by Spivak.In this text, while introducing integrals the author explained a lot about partitioning the area under the curve and defined the integral.The way I understood this is, as we increase the number of divisions in the partition the lower sum and the the up sum approach the same value and this value is the area under the curve.Am I understanding it right? Please explain.

 

[BvU]

You are doing fine. 'Please explain' is a strange request: what exactly would you like explained on top of that explanation ?

 

[BvU]

Sometimes it helps to study variations of the same explanation. Google 'Riemann sum' or 'fundamental theorem of calculus' to find lots of those.

 

[Mohankpvk]

You are doing fine. 'Please explain' is a strange request: what exactly would you like explained on top of that explanation [emoji3] ?

Thank you.That meant a lot to me.