Exploring Definite Integral as Limit of Sum


Drag the slider for 'n', what do you observe?

In the following applet : Use following commands in the input bar to get the Lower and Upper sum.(Tech Tip:Start typing Lower(or Upper) in the input bar on the left side, the respective command will show up. Select it and enter the respective values. LowerSum[ , , , ] LowerSum[ f, x(A), x(B),n ] UpperSum[ , , , ] UpperSum[ f, x(A), x(B),n ]

Evaluate the integral using Second Fundamental Theorem.